Loop quantum gravity

Living Reviews in Relativity

Volumn 1, Issue , 1998, Pages

  Rovelli, Carlo ^a  

^a UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84943165863     PISSN: 23673613     EISSN: 14338351     Source Type: Journal    
DOI: 10.12942/lrr-1998-1     Document Type: Article

References (222)

1. Agishtein, M., and Migdal, A., “Critical behavior of dynamically triangulated quantum gravity in 4 dimensions”, Nucl.Phys., 385, 395-412, (1992). For a related online version see: M. Agishtein, et al., “Critical behavior of dynamically triangulated quantum gravity in 4 dimensions”, (April, 1992), [Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-lat/9204004
2. Albert Einstein Institute, “Max Planck Institute for Gravitational Physics”, (1997), [Online HTML Document]: cited on 29 September 1997, http://www.aei-potsdam.mpg.de/
3. Amati, D., Ciafaloni, M., and Veneziano, G., “Superstring collisions at Planckian energies”, Phys. Lett. B, 197, 81-88, (1987). 2.3
4. Amati, D., Ciafaloni, M., and Veneziano, G., “Classical and quantum gravity e ects from Planckian energy superstring collisions”, Int. J. Mod. Phys., 3, 1615-1661, (1988). 2.3
5. Amati, D., Ciafaloni, M., and Veneziano, G., “Can spacetime be probed below the string size?”, Phys.Lett.B, 216, 41-47, (1989). 2.3
6. Amati, D., Ciafaloni, M., and Veneziano, G., “Planckian scattering beyond the semiclassical approximation”, Phys.Lett.B, 289, 87-91, (1992). 2.3
7. Ambjorn, J., Carfora, M., and Marzuoli, A., “The geometry of dynamical triangulations”, (December, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9612069. 2
8. Ashtekar, A., “New variables for classical and quantum gravity”, Phys. Rev. Lett., 57(18), 2244-2247, (1986). 3, 6
9. Ashtekar, A., “New Hamiltonian formulation of general relativity”, Phys. Rev. D, 36(6), 1587-1602, (1987). 3
10. Ashtekar, A., Lecture notes on non-perturbative canonical gravity. Notes prepared in collaboration with R Tate. Advanced Series in Astrophysics and Cosmology, Volume 6, (World Scientific, Singapore, 1991). 4, 6, 6
11. Ashtekar, A., “Mathematical problems of non-perturbative quantum general relativity”, in Julia, B., ed., Gravitation and Quantization, Les Houches, Session LVIII, 1992, (Elsevier, Amsterdam, 1995). 4
12. Ashtekar, A., Baez, J.C., Corichi, A., and Krasnov, K., private communication. 3, 6, 7.2
13. Ashtekar, A., and C.J. Isham, “Representations of the holonomy algebras of gravity and non-abelian gauge theories”, Class. Quantum Grav., 9, 1433-1485, (1992). 3, 6.1, 6.6, 6.7
14. Ashtekar, A., Husain, V., Rovelli, C., Samuel, J., and Smolin, L., “2 + 1 quantum gravity as a toy model for the 3 + 1 theory”, Class. Quantum Grav., 6, L185-L193, (1989). 3, 7.1
15. Ashtekar, A., and Lewandowski, J., “Representation theory of analytic holonomy C? algebras”, in Baez, J.C., ed., Knots and quantum gravity, 21-61, (Oxford University Press, Oxford, 1994). 3, 6.2, 6.2, 6.6, 6.7, 8
16. Ashtekar, A., and Lewandowski, J., “Differential geometry on the space of connections via graphs and projective limits”, J. Geom. Phys., 17, 191-230, (1995). For a related online version see: A. Ashtekar, et al., “Differential geometry on the space of connections via graphs and projective limits”, (December, 1994), [Online Los Alamos Preprint Archive]: cited on 29 September 1997, 3, 6.1, 6.2, 6.2, 6.6, 6.7, 8
17. Ashtekar, A., and Lewandowski, J., “Projective techniques and functional integration for gauge theories”, J. Math. Phys., 36, 2170-2191, (1995). For a related online version see: A. Ashtekar, et al., “Projective techniques and functional integration”, (November, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, 3, 6.2, 6.2, 6.6, 6.7, 8
18. Ashtekar, A., and Lewandowski, J., “Quantum Theory of Gravity I: Area Operators”, Class. Quantum Grav., 14, A55-A81, (1997). For a related online version see: A. Ashtekar, et al., “Quantum Theory of Gravity I: Area Operators”, (February, 1996), [Online Los Alamos Preprint Archive]: cited on 29 September 1997,http://xxx.lanl.gov/abs/gr-qc/9602046. 3, 6.1, 6.3, 6.5, 7.2, 7.2, 7.2, 7.2
19. Ashtekar, A., Lewandowski, J., Marolf, D., Mourao, J., and Thiemann, T., “Quantization of diffeomorphism invariant theories of connections with local degrees of freedom”, J. Math. Phys., 36, 6456-6493, (1995). For a related online version see: A. Ashtekar, et al., “Quantization of diffeomorphism invariant theories of connections with local degrees of freedom”, (April, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, 3, 4, 6.5, 6.7, 6.8
20. Ashtekar, A., Lewandowski, J., Marolf, D., Mourao, J., and Thiemann, T., “SU(N) Quantum Yang-Mills theory in two dimensions: A complete solution”, J. Math. Phys., 38(11), 5453-5482, (1997). For a related online version see: A. Ashtekar, et al., “Closed formula for Wilson loops for SU(N) Quantum Yang-Mills Theory in two dimensions”, (May, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http: //xxx.lanl.gov/abs/hep-th/9605128. To appear. 3, 5
21. Ashtekar, A., and Loll, R., “New Loop Representation for 2+1 Gravity”, Class. Quantum Grav., 11, 2417-2434, (1994). For a related online version see: A. Ashtekar, et al., “New Loop Representation for 2+1 Gravity”, (May, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, 3, 7.1
22. Ashtekar, A., and Rovelli, C., “A loop representation for the quantum Maxwell field”, Class. Quantum Grav., 9, 1121-1150, (1992). 3, 7.1
23. Ashtekar, A., Rovelli, C., and Smolin, L., “Gravitons and loops”, Phys. Rev. D, 44(6), 1740-1755, (1991). 3
24. Ashtekar, A., Rovelli, C., and Smolin, L., “Weaving a classical geometry with quantum threads”, Phys. Rev. Lett., 69, 237-240, (1992). 3, 6.5, 7.2, 7.2, 10
25. Baez, J.C., “Strings, loops, knots and gauge fields”, (September, 1993)
26. Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9309067. 3
27. Baez, J.C., “Spin foam models”, (September, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9709052. 3, 6.10, 8, 9
28. Baez, J.C., “This week's finds in mathematical physics”, (September, 1997), Online HTML Document]: cited on 29 September 1997, http://math.ucr.edu/home/baez/README.html”#TWF. 4
29. Baez, J.C., “Diffieomorphism-invariant generalized measures on the space of connections modulo gauge transformations”, in Crane, L., and Yetter, D., eds., Proceedings of the Conference on Quantum Topology, 213-223, (World Scientific, Singapore, 1994). For a related online version see: J.C. Baez, “Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations”, (May, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, 3, 3
30. Baez, J.C., “Generalized Measures in Gauge Theory”, Lett.Math.Phys., 31, 213-223, (1994). For a related online version see: J.C. Baez, “Diffeomorphism invariant generalized measures on the space of connections modulo gauge transformations”, (May, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9305045. 3
31. Baez, J.C., “Generalized Measures in Gauge Theory”, Lett.Math.Phys., 31, 213-224, (1994). For a related online version see: J.C. Baez, “Generalized Measures in Gauge Theory”, (October, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9310201. 3
32. Baez, J.C., “Generalized Measures in Gauge Theory”, Lett.Math.Phys., 31, 213-223, (1994). 3, 6.7, 9
33. Baez, J.C., Knots and Quantum Gravity, (Oxford University Press, Oxford, 1994). 4
34. Baez, J.C., “Strings, Loops, Knots and Gauge Fields”, in Baez, J.C., ed., Knots and Quantum Gravity, 133-159, (Cambridge University Press, Cambridge, 1994).
35. For a related online version see: J.C. Baez, “Strings, Loops, Knots and Gauge Fields”, (September, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9309067. 6.10
36. Baez, J.C., “Spin Networks in Gauge Theory”, Adv.Math., 117(2), 253-272, (1996). For a related online version see: J.C. Baez, “Spin Network States in Gauge Theory”, (November, 1994), [Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9411007. 3, 3, 6.3
37. Baez, J.C., “Spin Networks in Nonperturbative Quantum Gravity”, in Kauffman, L.H., ed., The Interface of Knots and Physics, (American Mathematical Society, Providence, Rhode Island, 1996). For a related online version see: J.C. Baez, “Spin Networks in Nonperturbative Quantum Gravity”, (April, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9504036. 3, 6.3
38. Baez, J.C., and Krasnov, K., “Quantization of diffeomorphism invariant theories with fermions”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9703112. 3, 7.1
39. Baez, J.C., and Muniain, J., Gauge Fields, Knots, and Gravity, (World Scientific Press, Singapore, 1994). 4
40. Balachandran, A.P., Chandar, L., and Momen, A., “Edge states in Gravity and Black Hole Physics”, Nucl. Phys. B, 461, 581-596, (1996). A.P. Balachandran, et al., “Edge states in Gravity and Black Hole Physics”, (December, 1994), [Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9412019. 7.2
41. Balachandran, A.P., Chandar, L., and Momen, A., “Edge States and Entanglement Entropy”, Int. J. Mod. Phys. A, 12(3), 625-641, (1997). For a related online version see: A.P. Balachandran, et al., “Edge States and Entanglement Entropy”, (December, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9512047. 7.2
42. Barbero, F., “Real-polynomial formulation of general relativity in terms of connections”, Phys.Rev.D, 49, 6935-6938, (1994). 3, 3
43. Barbero, F., “Real Ashtekar Variables for Lorentzian Signature Spacetimes”, Phys.Rev.D, 51, 5507-5510, (1995). For a related online version see: F. Barbero, “Real Ashtekar Variables for Lorentzian Signature Spacetimes”, (October, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9410014. 3, 3, 6
44. Barbero, F., “Reality Conditions and Ashtekar Variables: a Different Perspective”, Phys.Rev.D, 51, 5498-5506, (1995). For a related online version see: F. Barbero, “Reality Conditions and Ashtekar Variables: a Different Perspective”, (October, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9410013. 3, 3
45. Barbero, F., “From Euclidean to Lorentzian General Relativity: The Real Way”, Phys.Rev.D, 54, 1492-1499, (1996). For a related online version see: F. Barbero, “From Euclidean to Lorentzian General Relativity: The Real Way”, (May, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9605066. 3, 3
46. Barreira, M., Carfora, M., and Rovelli, C., “Physics with nonperturbative quantum gravity: radiation from a quantum black hole”, Gen.Relativ.Gravit., 28, 1293-1299, (1996). For a related online version see: M. Barreira, et al., “Physics with nonperturbative quantum gravity: radiation from a quantum black hole”, (March, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9603064. 7.2
47. Beetle, C., and Corichi, A., “Bibliography of Publications related to Class and Quantum Grav in terms of Connection and Loop Variables”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9703044. 4
48. Bekenstein, J.D., “Black holes and entropy”, Phys. Rev. D, 7, 2333-2346, (1973). 7.2
49. Bekenstein, J.D., and Mukhanov, V.F., “Spectroscopy of the quantum black hole”, (May, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9505012. 7.2
50. Blencowe, M.P., “The Hamiltonian constraint in quantum gravity”, Nulc. Phys. B, 341(1), 213-251, (1990). 3
51. Borissov, R., “Graphical Evolution of Spin Netwoks States”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606013. 3, 7.1
52. Borissov, R., “Weave states for plane gravitational waves”, Phys.Rev.D, 49, 923-929, (1994). 7.2
53. Borissov, R., “Regularization of the Hamiltonian constraint and the closure of the constraint algebra”, Phys.Rev.D, 55, 2059-2068, (1997). For a related online version see: R. Borissov, “Regularization of the Hamiltonian constraint and the closure of the constraint algebra”, (November, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9411038. 3
54. Borissov, R., DePietri, R., and Rovelli, C., “Matrix elements of Thiemann hamiltonian”, Class. Quantum Grav., To appear, (1997). For a related online version see: R. Borissov, et al., “Matrix elements of Thiemann hamiltonian”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9703090. 6.3, 6.9, 7.2, 7.2, 7.2
55. Brink, D.M., and Satchler, R., Angular Momentum, (Claredon Press, Oxford, 1968). 6.4
56. Brügmann, B., Personal communication. 8
57. Brügmann, B., On the constraints of quantum general relativity in the loop representation, PhD Thesis, (Syracuse University, Syracuse, New York, 1991).
58. For a related online version see: M. Reisenberger, et al., “Sum over Surfaces form of Loop Quantum Gravity”, (December, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997 3
59. Brügmann, B., “Loop representation”, in Ehlers, J., and Friedrich, H., eds., Canonical Gravity: From Classical to Quantum, (Springer-Verlag, Berlin, 1993). 7.1
60. Brügmann, B., Gambini, R., and Pullin, J., “Jones polynomials for intersecting knots as physical states of quantum gravity”, Nulc.Phys.B, 385, 587-603, (1992). 3, 7.1
61. Brügmann, B., Gambini, R., and Pullin, J., “Knot invariants as nondegenerate quantum geometries”, Phys.Rev.Lett., 68(4), 431-434, (1992). 3, 7.1
62. Brügmann, B., Gambini, R., and Pullin, J., “How the Jones polynomial gives rise to physical states of quantum general relativity”, Gen.Relativ.Gravit., 25, 1-6, (1993). 3, 7.1
63. Brügmann, B., and Pullin, J., “Intersecting N loop solutions of the Hamiltonian constraint of Quantum Gravity”, Nulc.Phys.B, 363, 221-244, (1991). 3
64. Brügmann, B., and Pullin, J., “On the constraints of quantum gravity in the loop representation”, Nulc.Phys.B, 390, 399-438, (1993). 3
65. Brügmann, B. B., and Marinari, E., “4d Simplicial Quantum Gravity with a Non-Trivial Measure”, Phys.Rev.Lett., 70, 1908-1911, (1993). For a related online version see: B. Brügmann, B., et al., “4d Simplicial Quantum Gravity with a Non-Trivial Measure”, (October, 1992), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-lat/9210002. 2
66. Carlip, S., “Observables, gauge invariance and time in 2+1 dimensional gravity”, Phys.Rev.D, 42, 2647-2654, (1990). 7.1
67. Carlip, S., “Statistical Mechanics and Black Hole Thermodynamics”, Nucl. Phys. B, Proc. Suppl. 57, 8-12, (1997). For a related online version see: S. Carlip, “Statistical Mechanics and Black Hole Thermodynamics”, (February, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9702017. 7.2
68. Carlip, S., “Statistical Mechanics of the Three-Dimensional Euclidean Black Hole”, Phys.Rev.D, 55(2), 878-882, (1997). For a related online version see: S. Carlip, “The Statistical Mechanics of the Three- Dimensional Euclidean Black Hole”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606043. 7.2
69. Catterall, S., Kogut, J., and Renken, R., “Phase Structure of Four Dimensional Simplicial Quantum Gravity”, Phys.Lett.B, 328, 277-283, (1994). For a related online version see: S. Catterall, et al., “Phase Structure of Four Dimensional Simplicial Quantum Gravity”, (October, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-lat/9401026. 2
70. Citanovic, P., Group theory, (Nordita classical illustrated, Copenhagen, 1984). 6.4
71. Connes, A., Non Commutative Geometry, (Academic Press, S. Diego, 1994). 2
72. Connes, A., and Rovelli, C., “Von Neumann algebra automorphisms and time versus thermodynamics relation in general covariant quantum theories”, Class. Quantum Grav., 11(12), 2899-2917, (1994). For a related online version see: A. Connes, et al., “Von Neumann algebra automorphisms and time versus thermodynamics relation in general covariant quantum theories”, (June, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9406019. 10
73. Corichi, A., and Krasnov, K., “Loop Quantization of Maxwell Theory and Electric Charge Quantization”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9703177. 6, 7.2
74. Crane, L., “Topological field theory as the key to quantum gravity”, in Baez, J.C., ed., Knots and Quantum Gravity, 121-131, (Oxford University Press, Oxford, 1994). 6.10
75. Crane, L., “Clock and Categories: Is Quantum Gravity Algebraic?”, J. Math. Phys., 36, 6180-6193, (1995). 6.10
76. Crane, L., and Frenkel, I., “Four-dimensional topological field theory, Hopf categories and the canonical bases”, J. Math. Phys., 35(10), 5136-5154, (1994). For a related online version see: L. Crane, et al., “Four-dimensional topological field theory, Hopf categories and the canonical bases”, (May, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9405183. 6.10
77. Crane, L., Kauffman, L.H., and Yetter, D.N., “Evaluating the Crane- Yetter Invariant”, (September, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9309063. 6.10
78. Crane, L., and Yetter, D., “A Categorical Construction of 4d TQFTs”, in Baadhio, R., and Kauffman, L.H., eds., Quantum Topology, (World Scientific, Singapore, 1993). For a related online version see: L. Crane, et al., “A Categorical Construction of 4d TQFTs”, (January, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx. lanl.gov/abs/hep-th/9301062. 6.10
79. DePietri, R., “On the relation between the connection and the loop representation of quantum gravity”, Class.Quantum Grav., 14, 53-69, (1997). For a related online version see: R. DePietri, “On the relation between the connection and the loop representation of quantum gravity”, (May, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9605064. 3, 6.6
80. DePietri, R., and Rovelli, C., “Geometry Eigenvalues and Scalar Product from Recoupling Theory in Loop Quantum Gravity”, Phys.Rev.D, 54, 2664-2690, (1996). For a related online version see: R. DePietri, et al., “Geometry Eigenvalues and Scalar Product from Recoupling Theory in Loop Quantum Gravity”, (February, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9602023. 3, 4, 6.1, 6.3, 6.4, 6.4, 6.5, 6.7, 6.7, 6.9, 7.2, 7.2, 7.2
81. Di Bartolo, C., Gambini, R., and Griego, “Extended loop representation of quantum gravity”, Phys. Rev. D, 51(2), 502-516, (1995). For a related online version see: C. Di Bartolo, et al., “Extended loop representation of quantum gravity”, (June, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9406039. 3, 4
82. Di Bartolo, C., Gambini, R., and Griego, “Lattice knot theory and quantum gravity in the loop representation”, Phys.Rev.D, 56, 2127-2143, (1997). For a related online version see: C. Di Bartolo, et al., “Lattice knot theory and quantum gravity in the loop representation”, (August, 1996),Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9608033. 3, 7.1
83. Di Bartolo, C., Gambini, R., Griego, J., and Pullin, J., “Extended loops: A new arena for nonperturbative quantum gravity”, Phys.Rev.Lett., 72, 3638-3641, (1994). 3, 4
84. Ehlers, J., and Friedrich, H., eds., Canonical Gravity: from Classical to Quantum, (Springer-Verlag, Berlin, 1994). 6
85. Ezawa, K., “Nonperturbative solutions for canonical quantum gravity: an overview”, (October, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9601050. 7.1
86. Foxon, T.J., “Spin networks, Turaev - Viro theory and the loop representation”, Class.Quantum Grav., 12(4), 951-964, (1995). 6.10
87. Fritelli, S., Lehner, L., and Rovelli, C., “The complete spectrum of the area from recoupling theory in loop quantum gravity”, Class.Quantum Grav., 13, 2921-2932, (1996). For a related online version see: S. Fritelli, et al., “The complete spectrum of the area from recoupling theory in loop quantum gravity”, (August, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9608043. 3, 7.2, 7.2, 7.2
88. Frittelli, S., Kozameh, N.C., and Newman “GR via Characteristic Surfaces”, J.Math.Phys., 36, 4984-5004, (1995). For a related online version see: S. Frittelli, et al., “GR via Characteristic Surfaces”, (February, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9502028. 2
89. Frittelli, S., Kozameh, N.C., Newman, E.T., Rovelli, C., and Tate, R.T., “Fuzzy spacetime from a null-surface version of GR”, Class.Quantum Grav., 14, A143-A154, (1997). For a related online version see: S. Frittelli, et al., “Fuzzy spacetime from a null-surface version of GR”, (March, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9603061. 2
90. Frittelli, S., Kozameh, N.C., Newman, E.T., Rovelli, C., and Tate, R.T., “On the quantization of the Null-Surface formulation of GR”, Phys.Rev.D, 56, 889-907, (1997). For a related online version see: S. Frittelli, et al., “On the quantization of the Null-Surface formulation of GR”, (December, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9612010. 2
91. Gambini, R., Garat, A., and Pullin, J., “The constraint algebra of quantum gravity in the loop representation”, Int.J.Mod.Phys.D, 4(5), 589-616, (1995). For a related online version see: R. Gambini, et al., “The constraint algebra of quantum gravity in the loop representation”, (April, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9404059. 3
92. Gambini, R., Griego, J., and Pullin, J., “Chern-Simons states in spinnetwork quantum gravity”, (March, 1997),Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9703042. 3
93. Gambini, R., Lewandowski, J., Marolf, D., and Pullin, J., “On the consistency of the constraint algebra in spin network quantum gravity”, (September, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/? 3, 8
94. Gambini, R., and Pullin, J., “Quantum Einstein-Maxwell fields: a unified viewpoint from the loop representation”, Phys.Rev.D, 47, R5214-R5218, (1993). For a related online version see: R. Gambini, et al., “Quantum Einstein-Maxwell fields: a unified viewpoint from the loop representation”, (October, 1992), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9210110. 7.1
95. Gambini, R., and Pullin, J., “The Gauss linking number in quantum gravity”, in Baez, J.C., ed., Knots and quantum gravity, 63-76, (Oxford University Press, Oxford, 1994). 3
96. Gambini, R., and Pullin, J., Loops, Knots, Gauge Theory and Quantum Gravity, (Cambridge University Press, Cambridge, 1996). 4
97. Gambini, R., and Pullin, J., “A rigorous solution of the quantum Einstein equations”, Phys.Rev.D, 54, 5935-5938, (1996). For a related online version see: R. Gambini, et al., “A rigorous solution of the quantum Einstein equations”, (November, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9511042. 3, 7.1
98. Gambini, R., and Trias, A., “On the geometrical origin of gauge theories”, Phys.Rev.D, 23, 553-555, (1981). 3, 6.1
99. Gambini, R., and Trias, A., “Gauge dynamics in the C representation”, Nucl.Phys.B, 278, 436-448, (1986). 3, 6.1
100. Garay, L.J., “Quantum gravity and minimum length”, (march, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9403008. 7.2
101. Grot, N., and Rovelli, C., “Moduli-space of knots with intersections”, J. Math. Phys., 37, 3014-3021, (1996). For a related online version see: N. Grot, et al., “Moduli-space of knots with intersections”, (April, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http: //xxx.lanl.gov/abs/gr-qc/9604010. 6.8
102. Grott, N., and Rovelli, C., “Weave states in loop quantum gravity”, Gen. Relativ. Gravit., To appear, (1997). 7.2, 10
103. Guichardet, A., Lecture Notes in Mathematics N. 261, (Springer-Verlag, Berlin, 1972). 6.8
104. Hartle, J., “The Quantum Mechanics of Cosmology”, in Coleman, S., Hartle, J., Piran, T., and Weinberg, S., eds., Quantum Cosmology and Baby Universes, (World Scientific, Singapore, 1991). 5.4
105. Hartle, J., “Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime”, in Julia, B., and J., Zinn, eds., Gravitation et Quantifition. Les Houches, Session LVII 1992, (Elsevier Science, Amsterdam, 1995). 5.4, 9
106. Hartle, J., and Hawking, S.W., “Wave function of the universe”, Phys. Rev. D, 28, 2960-2975, (1983). 2
107. Hawking, S., “Black hole explosion”, Nature, 248, 30-31, (1974). 7.2
108. Hawking, S., “Particle creation by black hole”, Commun. Math. Phys., 43, 190-220, (1975). 7.2
109. Hawking, S.W., “Quantum Cosmology”, in DeWitt, B., and Stora, R., eds., Relativity, Groups and Topology, Les Houches Session XL, 333-379, (North Holland, Amsterdam, 1984). 2
110. Higuchi, A., “Linearized gravity in DeSitter spacetime as a representation of SO(4; 1)”, Class.Quantum Grav., 8, 2005-2021, (1991). 6.8
111. Horowitz, G., Lowe, D.A., and Maldcena, J., “Statistical Entropy of Nonextremal Four-Dimensional Black Holes and U-Duality”, Phys.Rev.Lett., 77, 430-433, (1996).
112. For a related online version see: G. Horowitz, et al., “Statistical Entropy of Nonextremal Four-Dimensional Black Holes and U-Duality”, (February, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9603195. 2.3
113. Horowitz, G., Maldacena, J., and Strominger, A., “Nonextremal Black Hole Microstates and U-duality”, Phys.Lett.B, 383, 151-159, (1996). For a related online version see: G. Horowitz, et al., “Nonextremal Black Hole Microstates and U-duality”, (March, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9603109. 2.3
114. Horowitz, G., and Strominger, A., “Counting States of Near-Extremal Black Holes”, Phys.Rev.Lett., 77, 2368-2371, (1996). For a related online version see: G. Horowitz, et al., “Counting States of Near-Extremal Black Holes”, (February, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9602051. 2.3
115. Husain, V., “Intersecting loop solutions of the hamiltonian constraint of quantum general relativity”, Nulc.Phys.B, 313(3), 711-724, (1988). 3
116. Husain, V., “Intersecting loop solutions of the Hamiltonian constraint of quantum general relativity”, Nulc.Phys.B, 313, 711-724, (1989). 7.1
117. Immirzi, G., “Real and complex connections for canonical gravity”, (December, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9612030. 6
118. Immirzi, G., “Quantum gravity and Regge calculus”, (January, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9701052. 6
119. Immirzi, G., “Quantizing Regge Calculus”, Class.Quantum Grav., 13, 2385-2394, (1996). For a related online version see: G. Immirzi, “Quantizing Regge Calculus”, (December, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9512040. 6
120. Imperial College, “Theoretical Physics Group Home page”, (1997), Online HTML Document]: cited on 29 September 1997, http://euclid.tp.ph.ic.ac.uk/. 4
121. Isham, C.J., “Topological and global aspects of quantum theory”, in DeWitt, B., and Stora, R., eds., Relativity, Groups and Topology, Les Houches Session XL, 1059-1290, (North Holland, Amsterdam, 1984). 5.1, 4
122. Isham, C.J., “Quantum Logic and the Histories Approach to Quantum Theory”, J.Math.Phys., 35, 2157-2185, (1994). 5.4, 9
123. Isham, C.J., “Quantum Logic and Decohering Histories”, in Tchrakian, D.H., ed., Topics in Quantum Field Theory, (World Scientifi Singapore, 1995). 5.4, 9
124. Isham, C.J., “Structural Problems Facing Quantum Gravity Theory”, in Francaviglia, M., Longhi, G., Lusanna, L., and Sorace, E., eds., Proceedings of the 14th International Conference on General Relativity and Gravitation, 167-209, (World Scientific, Singapore, 1997). For a related online version see: C.J. Isham, “Structural Problems Facing Quantum Gravity Theory”, (October, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9510065. 2
125. Isham, C.J., and Linde, N., “The classification of decoherence functionals: An analogue of Gleason's theorem”, J.Math.Phys., 35, 6300-6370, (1994). 5.4, 9
126. Isham, C.J., and Linde, N., “Quantum temporal logic and decoherent functionals in the histories approach to generalized quantum theory”, J.Math.Phys., 35, 5452-5476, (1994). 5.4, 9
127. Iwasaki, J., “A definition of the Ponzano-Regge quantum gravity model in terms of surfaces”, J.Math.Phys., 36(11), 6288-6298, (1995). 3, 6.10
128. Iwasaki, J., and Rovelli, C., “Gravitons as Embroidery on the Weave”, Int. J. Mod. Phys. D, 1(3/4), 533-557, (1992). 3, 7.2, 10
129. Iwasaki, J., and Rovelli, C., “Gravitons from loops: non-perturbative loop-space quantum gravity contains the graviton-physics approximation”, Class. Quantum Grav., 1, 1653-1656, (1994). 10
130. Jacobson, T., Seminar at the Schrödinger Institute, Vienna, (1996). 7.2
131. Jacobson, T., and Smolin, L., “Nonperturbative quantum geometries”, Nucl.Phys.B, 299(2), 295-345, (1988). 3
132. Kau_man, L.H., “Vassiliev Invariants and the Loop States in Quantum Gravity”, in Baez, J.C., ed., Knots and Quantum Gravity, 77-96, (Oxford U. Press, Oxford, 1994). 7.1
133. Kau_man, L.H., and Lins, S.L., Temperley-Lieb Recoupling Theory and Invariant of 3-Manifolds, (Princeton University Press, Princeton, 1994). 6.7, 6.7
134. Kodama, H., “Holomorphic wave function of the universe”, Phys.Rev.D, 42, 2548-2565, (1990). 3, 7.1
135. Krasnov, K., “Quantum loop representation for fermions coupled to Einstein-Maxwell field”, Phys.Rev.D, 53, 1874-1888, (1996). 3, 9
136. Krasnov, K., “Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field”, Phys.Rev.D, 53(4), 1874-1888, (1996). For a related online version see: K. Krasnov, “Quantum Loop Representation for Fermions coupled to Einstein-Maxwell field”, (June, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9506029. 7.1
137. Krasnov, K., “Geometrical entropy from loop quantum gravity”, Phys.Rev.D, 55(6), 3505-3513, (1997). For a related online version see: K. Krasnov, “Counting Surface States in the loop quantum gravity”, (March, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9603025. 3, 6, 7.2
138. Krasnov, K., “On statistical mechanics of Schwarzschild black hole”, Gen. Relativ. Gravit., in print, (1997). For a related online version see: K. Krasnov, “On statistical mechanics of gravitational systems”, (May, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9605047. 3, 6, 7.2
139. Kuchař, K., Recalled from memory from a discussion at the conference “Quantum Gravity in the Southern Cone” in Montevideo, (1996). 3
140. Lewandowski, J., “Topological Measure and Graph-Diérential Geometry on the Quotient Space of Connections”, Int. J. Mod. Phys. D, 3, 207-210, (1994). For a related online version see: J. Lewandowski, “Topological Measure and Graph-Diérential Geometry on the Quotient Space of Connections”, (June, 1994)
141. Online Los Alamos Preprint Archive]: cited on 29 September 1997, ttp://xxx.lanl.gov/abs/gr-qc/9406025. 3, 6.2
142. Lewandowski, J., “The Operators of Quantum Gravity”, Lecture given at the Workshop on Canonical Quantum Gravity, Warsaw, (1995). 3, 6.5
143. Lewandowski, J., “Volume and Quantizations”, Class.Quantum Grav., 14, 71-76, (1997). For a related online version see: J. Lewandowski, “Volume and Quantizations”, (February, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9602035. 3, 6.6, 7.2, 8
144. Lewandowski, J., and Marolf, D., “Loop constraints: A habitat and their algebra”, (1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/? 3, 3, 8, 9
145. Loll, R., “Nonperturbative solutions for lattice quantum gravity”, Nucl.Phys.B, 444, 619-639, (1995). 3, 7.1
146. Loll, R., “The volume operator in discretized quantum gravity”, Phys.Rev.Lett., 75, 3048-3051, (1995). For a related online version see: R. Loll, “The volume operator in discretized quantum gravity”, (June, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9506014. 3, 7.2
147. Loll, R., “Spectrum of the Volume Operator in Quantum Gravity”, Nucl.Phys.B, 460(1), 143-154, (1996). For a related online version see: R. Loll, “Spectrum of the Volume Operator in Quantum Gravity”, (November, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9511030. 3, 7.2
148. Markopoulou, F., and Smolin, L., “Causal evolution of spin networks”, (February, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9702025. 3, 6.10
149. Marolf, D., Green's bracket algebra and their quantization, PhD Thesis, (University of Texas at Austin, Austin, Texas, 1992). 3, 6.8
150. Marolf, D., “Loop Representation for 2+1 Gravity on a Torus”, Class.Quantum Grav., 10, 2625-2648, (1993). For a related online version see: D. Marolf, “Loop Representation for 2+1 Gravity on a Torus”, (March, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9303019. 3, 7.1
151. Marolf, D., “Quantum Observables and Recollapsing Dynamics”, Class.Quantum Grav., 12, 1199-1220, (1995). 3, 6.8
152. Marolf, D., “The spectral analysis inner product”, in Rufini, R., and Keiser, M., eds., Proceedings of the VIIth Marcel Grossman Conference, (World Scientific, Singapore, 1995). 3, 6.8
153. Marolf, D., and Mourao, J.M., “On the support of the Ashtekar- Lewandowski measure”, Commun.Math.Phys., 170, 583-605, (1995). For a related online version see: D. Marolf, et al., “On the support of the Ashtekar-Lewandowski measure”, (March, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9403112. 3, 6.7
154. Morales-Técotl, H.A., and Rovelli, C., “Fermions in quantum gravity”, Phys.Rev.Lett., 72, 3642-3645, (1994). For a related online version see: H.A. Morales-Tecotl, et al., “Fermions in quantum gravity”, (January, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9401011. 3, 7.1, 9
155. Morales-Técotl, H.A., and Rovelli, C., “Loop Space Representation of Quantum Fermions and Gravity”, Nucl.Phys.B, 451, 325-361, (1995). 3, 7.1, 9
156. Penrose, R., “Angular momentum: an approach to combinatorial spacetime”, in Bastin, T., ed., Quantum Theory and Beyond, 151-180, (Cambridge University Press, Cambridge, 1971). 3, 6.3
157. Penrose, R., “Applications of negative dimensional tensors”, in Welsh, D., ed., Combinatorial Mathematics and its Application, 221-243, (Acad. Press, London, 1971). 3, 6.3
158. Penrose, R., “The twistors program”, Rep.Math.Phys., 12, 65-76, (1977). 2
159. Penrose, R., The Emperor's new Mind, (Oxford University Press, Oxford, 1989). 5.4
160. Pittsburgh Relativity Group, “Pittsburgh Relativity Group”, (1997), Online HTML Document]: cited on 29 September 1997, http://artemis. phyast.pitt.edu/. 4
161. Pullin, J., “Center for Gravity and Geometry”, (1997), Online HTML Document]: cited on 29 September 1997, http://vishnu.nirvana.phys.psu.edu. 4
162. Pullin, J., “Knot invariants as nondegenerate states of four-dimensional quantum gravity”, in Lucio, J., ed., Proceedings of the Vth Mexican School of Particles and Fields, (World Scientific, Singapore, 1993). 3, 7.1
163. Reisenberger, M., “Worldsheet formulations of gauge theories and gravity”, (December, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9412035. 3, 6.10
164. Reisenberger, M., “A Left-Handed Simplicial Action for Euclidean General Relativity”, Class.Quantum Grav., 14, 1730-1770, (1997). For a related online version see: M. Reisenberger, “A Left-Handed Simplicial Action for Euclidean General Relativity”, (September, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9609002. 3, 3, 7.1
165. Reisenberger, M., and Rovelli, C., “Sum over Surfaces form of Loop Quantum Gravity”, Phys.Rev.D, 56, 3490-3508, (1997). For a related online version see: M. Reisenberger, et al., “Sum over Surfaces form of Loop Quantum Gravity”, (December, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9612035. 3, 3, 6.10, 6.10, 8, 9, 9, 10
166. Rovelli, C., “2nd Warsaw Workshop on Canonical and Quantum Gravity, in Matters of Gravity, J. Pullin ed.”, (September, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9709023. 4
167. Rovelli, C., On the Quantization of the Theory of Gravity, PhD Thesis, (Universita diTrento, Trento, Italy, 1987). 6.8
168. Rovelli, C., “The Loop Space Representation of Quantum General Relativity”, in Ashtekar, A., ed., New perspectives in canonical gravity, (Bibliopolis, Naples, 1989). 3
169. Rovelli, C., “Ashtekar's formulation of general relativity and loop-space non-perturbative quantum gravity : a report”, Class.Quantum Grav., 8(9), 1613-1675, (1991). 4, 6
170. Rovelli, C., “Quantum evolving constants”, Phys.Rev.D, 44(4), 1339-1341, (1991). 5.4
171. Rovelli, C., “Quantum mechanics without time: a model”, Phys.Rev.D, 42(8), 2638-2646, (1991). 5.4
172. Rovelli, C., “Quantum reference systems”, Class.Quantum Grav., 8(2), 317-331, (1991). 9
173. Rovelli, C., “Time in quantum gravity: an hypothesis”, Phys.Rev.D, 43(2), 442-456, (1991). 5.4, 7.1
174. Rovelli, C., “What is observable in classical and quantum gravity?”, Class.Quantum Grav., 8(2), 297-316, (1991). 5.3, 9
175. Rovelli, C., “Area is the length of Ashtekar's triad field”, Phys.Rev.D, 47, 1703-1705, (1993). 8
176. Rovelli, C., “Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantumgravity model is the loop representation basis”, Phys.Rev.D, 48, 2702-1707, (1993). 6.10
177. Rovelli, C., “A generally covariant quantum field theory and a prediction on quantum measurements of geometry”, Nulc.Phys.B, 405, 797-815, (1993). 7.2, 8
178. Rovelli, C., “Statistical mechanics of gravity and thermodynamical origin of time”, Class.Quantum Grav., 10(8), 1549-1566, (1993). 10
179. Rovelli, C., “The statistical state of the universe”, Class.Quantum Grav., 10(8), 1567-1578, (1993). 10
180. Rovelli, C., “Outline of a generally covariant quantum field theory and a quantum theory of gravity”, J.Math.Phys., 36, 6529-6547, (1995). For a related online version see: C. Rovelli, “Outline of a generally covariant quantum field theory and a quantum theory of gravity”, (March, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9503067. 6.9, 7.1, 10
181. Rovelli, C., “Black Hole Entropy from Loop Quantum Gravity”, Phys.Rev. Lett., 14, 3288-3291, (1996). For a related online version see: C. Rovelli, “Black Hole Entropy from Loop Quantum Gravity”, (March, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9603063. 3, 6, 7.2
182. Rovelli, C., “Localization in quantum field theory, which aspects or quantum fifield theory are compatible with what we know about spacetime?”, in Cao, J., ed., Proceedings of the 1996 Boston Colloquium for Philosophy of Science, Reections on the Foundations of Quantum Field theory, (Boston Center for the Philosophy of Science, Boston, 1996). 5.3
183. Rovelli, C., “Loop Quantum Gravity and Black hole Physics”, Helv.Phys.Acta, 69, 582-611, (1996). For a related online version see: C. Rovelli, “Loop Quantum Gravity and Black hole Physics”, (August, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9608032. 6, 10
184. Rovelli, C., “Relational Quantum Mechanics”, Int.J.Theor.Phys., 35(8), 1637-1678, (1996). For a related online version see: C. Rovelli, “Relational Quantum Mechanics”, (September, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/quant-ph/9609002. 5.4
185. Rovelli, C., “Half way through the woods”, in Earman, J., and Norton, J., eds., The Cosmos of Science, 180-223, (University of Pittsburgh Press and Universitats Verlag Konstanz, Konstanz, 1997). 2, 5.3, 5.4
186. Rovelli, C., “Quantum Gravity as a Sum over Surfaces”, Nulc.Phys.B,(Proc. Suppl.) 57, 28-43, (1997). 3, 6.10, 9
187. Rovelli, C., and Smolin, L., “A new approach to quantum gravity based on loop variables”, International conference on Gravitation and Cosmology, Goa, Dec 14-19 India, (1987). 1, 3
188. Rovelli, C., and Smolin, L., “Knot theory and quantum gravity”, Phys.Rev.Lett., 61, 1155-1158, (1988). 3, 6.1, 7.1
189. Rovelli, C., and Smolin, L., “Loop space representation of quantum general relativity”, Nucl.Phys.B, 331(1), 80-152, (1990). 3, 4, 4, 6.1, 6.4, 6.6, 6.6, 6.7, 7.1
190. Rovelli, C., and Smolin, L., “The physical Hamiltonian in nonperturbative quantum gravity”, Phys.Rev.Lett., 72, 446-449, (1994). 3
191. Rovelli, C., and Smolin, L., “Discreteness of area and volume in quantum gravity”, Nucl.Phys.B, 442, 593-622, (1995). For a related online version see: C. Rovelli, et al., “Discreteness of area and volume in quantum gravity”, (November, 1994), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9411005. Erratum: Nucl. Phys., B456, 734, (1995). 3, 6.5, 7.2, 7.2, 7.2, 8
192. Rovelli, C., and Smolin, L., “Spin Networks and Quantum Gravity”, Phys.Rev.D, 52, 5743-5759, (1995). For a related online version see: C. Rovelli, et al., “Spin Networks and Quantum Gravity”, (May, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9505006. 3, 6.3, 6.4
193. Rovelli, C., and Smolin, L., “The physical hamiltonian in nonperturbative quantum gravity”, Phys.Rev.Lett., 72(4), 1994, 446-449 For a related online version see: C. Rovelli, et al., “The physical hamiltonian in nonperturbative quantum gravity”, (August, 1993), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9308002. 6.9, 7.1
194. Rovelli, C., and Thiemann, T., “The Immirzi parameter in quantum general relativity”, (May, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9705059. 6, 7.2
195. Sen, A., “Gravity as a spin system”, Phys.Lett.B, 119, 89-91, (1982). 3, 6, 6
196. Smolin, L., “Loops and Strings”, (1998), Article in the Online Journal Living Reviews in Relativity]: cited on 29 September 1997. To appear. 2.3
197. Smolin, L., “The classical limit and the form of the hamiltonian constraint in nonperturbative quantum general relativity”, (September, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9609034. 3, 8, 9
198. Smolin, L., “Macroscopic deviations from Hawking radiation?”, (February, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9602001. 7.2
199. Smolin, L., “The Bekenstein Bound, Topological Quantum Field Theory and Pluralistic Quantum Field Theory”, (August, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9508064. 7.2
200. Smolin, L., “Knot Theory in Quatum Gravity”, in Ashtekar, A., ed., New Perspectives in canonical gravity, (Bibliopolis, Naples, 1988). 3
201. Smolin, L., “Recent developments in nonperturbative quantum gravity”, in Perez-Mercader, J., Sola, J., and Verdaguer, E., eds., Proceedings of the XXII Gift International Seminar on Theoretical Physics, Quantum Gravity and Cosmology, June 1991, Catalonia, Spain, (World Scientific, Singapore, 1992). 3, 6.5
202. Smolin, L., The Life of the Cosmos, (Oxford University Press, Oxford, 1997). 2
203. Strominger, A., and Vafa, G., “Microscopic Origin of the Bekenstein- Hawking Entropy”, Phys.Lett.B, 379, 99-104, (1996). For a related online version see: A. Strominger, et al., “Microscopic Origin of the Bekenstein-Hawking Entropy”, (January, 1996),Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/hep-th/9601029. 2.3
204. Syracuse University, “Relativity Group”, (1997), Online HTML Document]: cited on 29 September 1997, http://www.phy.syr.edu/research/relativity/. 4
205. Hooft, G., “Can spacetime be probed below the string size?”, Phys.Lett., 198, 61-63, (1987). 2.3
206. Thiemann, T., “QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories”, (May, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9705019. 3, 7.1, 9
207. Thiemann, T., “Quantum Spin Dynamics (QSD)”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606089. 3, 6, 6.9, 7.1, 8
208. Thiemann, T., “Quantum Spin Dynamics (QSD) II”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606090. 3, 6, 6.9, 7.1, 8
209. Thiemann, T., “Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories”, (May, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9705021. 7.1, 9
210. Thiemann, T., “Closed formula for the matrix elements of the volume operator in canonical quantum gravity”, (June, 1991), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606091. 7.2, 7.2
211. Thiemann, T., “A length operator for canonical quantum gravity”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606092. 7.2
212. Thiemann, T., “An account of transforms on A=G”, Acta Cosmologica, 21(2), 145-167, (1996). For a related online version see: T. Thiemann, “An account of transforms on A=G”, (November, 1995), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9511049. 3
213. Thiemann, T., “Anomaly-Free Formulation of Nonperturbative Fourdimensional Lorentzian Quantum Gravity”, Phys. Lett., 380, 257-264, (1996). For a related online version see: T. Thiemann, “Anomaly-Free Formulation of Nonperturbative Four-dimensional Lorentzian Quantum Gravity”, (June, 1996), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9606088. 3, 6, 6.9, 7.1, 8
214. Verlinde, H., and Verlinde, E., “Scattering at Planckian energies”, Nucl. Phys. B, 371, 246-268, (1992). 2.3
215. Wald, R.M., Quantum Field Theory on Curved Spacetime and Black Hole Thermodynamics, (University of Press, Chicago, 1994). 7.2
216. Wilson, K., and Kogut, “Hamiltonian Formulation Of Wilson's Lattice Gauge Theories”, Phys.Rev.D, 11, 395-408, (1975). 3
217. Witten, E., “Quantum Field Theory And The Jones Polynomial”, Commun.Math.Phys., 121(3), 351-399, (1989). 7.1
218. York, J.W., “Dynamical origin of black hole radiance”, Phys.Rev.D, 28(12), 2929-2945, (1983). 7.2
219. Yutsin, A.P., Levinson, J.B., and Vanagas, V.V., Mathematical Apparatus of the Theory of Angular Momentum, (Israel program for Scientific Translation, Jerusalem, 1962). 6.4
220. Zapata, J.A., “A combinatorial approach to diéomorphism invariant quantum gauge theories”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9703037. 6.8
221. Zapata, J.A., “Combinatorial space from loop quantum gravity”, (March, 1997), Online Los Alamos Preprint Archive]: cited on 29 September 1997, http://xxx.lanl.gov/abs/gr-qc/9703038. 6.8
222. Zegwaard, J., “The weaving of curved geometries”, Phys.Lett., 300, 217-222, (1993). 7.2