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Volumn 22, Issue 19, 2005, Pages

Loop quantum gravity: An outside view

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EID: 25444494733     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/19/R01     Document Type: Review
Times cited : (193)

References (157)
  • 1
    • 0003026840 scopus 로고
    • Quantum gravity at two loops
    • Goroff M H and Sagnotti A 1985 Quantum gravity at two loops Phys. Lett. B 160 81
    • (1985) Phys. Lett. , vol.160 , Issue.1-3 , pp. 81
    • Goroff, M.H.1    Sagnotti, A.2
  • 2
    • 25344474890 scopus 로고
    • The ultraviolet behavior of Einstein gravity
    • Goroff M H and Sagnotti A 1986 The ultraviolet behavior of Einstein gravity Nucl. Phys. B 266 709
    • (1986) Nucl. Phys. , vol.266 , Issue.3-4 , pp. 709
    • Goroff, M.H.1    Sagnotti, A.2
  • 3
    • 0000828570 scopus 로고
    • Two loop quantum gravity
    • van de Ven A E M 1992 Two loop quantum gravity Nucl. Phys. B 378 309-66
    • (1992) Nucl. Phys. , vol.378 , Issue.1-2 , pp. 309-366
    • Van De Ven, A.E.M.1
  • 4
    • 0011040162 scopus 로고
    • Ultraviolet divergences in quantum gravity
    • Weinberg S 1979 Ultraviolet divergences in quantum gravity An Einstein Centenary Survey ed S Hawking and W Israel (Cambridge: Cambridge University Press) pp 790-832
    • (1979) An Einstein Centenary Survey , pp. 790-832
    • Weinberg, S.1
  • 6
    • 0036281915 scopus 로고    scopus 로고
    • Is quantum Einstein gravity nonperturbatively renormalizable?
    • Lauscher O and Reuter M 2002 Is quantum Einstein gravity nonperturbatively renormalizable? Class. Quantum Grav. 19 483-92 (Preprint hep-th/0110021)
    • (2002) Class. Quantum Grav. , vol.19 , Issue.3 , pp. 483-492
    • Lauscher, O.1    Reuter, M.2
  • 7
    • 0000731188 scopus 로고
    • Action integrals and partition functions in quantum gravity
    • Gibbons G W and Hawking S W 1977 Action integrals and partition functions in quantum gravity Phys. Rev. D 15 2752-6
    • (1977) Phys. Rev. , vol.15 , Issue.10 , pp. 2752-2756
    • Gibbons, G.W.1    Hawking, S.W.2
  • 8
    • 0002241988 scopus 로고
    • The path-integral approach to quantum gravity
    • Hawking S W 1979 The path-integral approach to quantum gravity An Einstein Centenary Survey ed S Hawking and W Israel (Cambridge: Cambridge University Press) pp 746-89
    • (1979) An Einstein Centenary Survey , pp. 746-789
    • Hawking, S.W.1
  • 9
    • 33744514237 scopus 로고
    • Wave function of the universe
    • Hartle J B and Hawking S W 1983 Wave function of the universe Phys. Rev. D 28 2960-75
    • (1983) Phys. Rev. , vol.28 , Issue.12 , pp. 2960-2975
    • Hartle, J.B.1    Hawking, S.W.2
  • 12
    • 4043142118 scopus 로고    scopus 로고
    • Background independent quantum gravity: A status report
    • Ashtekar A and Lewandowski J 2004 Background independent quantum gravity: a status report Class. Quantum Grav. 21 R53 (Preprint gr-qc/0404018)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.15 , pp. 53
    • Ashtekar, A.1    Lewandowski, J.2
  • 15
    • 25444478887 scopus 로고
    • Ashtekar's approach to quantum gravity
    • Horowitz G T 1991 Ashtekar's approach to quantum gravity Strings and Symmetries (Stony Brook: World Scientific) pp 154-67 (Preprint hep-th/9109002)
    • (1991) Strings and Symmetries , pp. 154-167
    • Horowitz, G.T.1
  • 16
    • 0011656293 scopus 로고
    • Canonical quantum gravity
    • Kuchar K V 1993 Canonical quantum gravity General Relativity and Gravitation ed R Gleiser, C Kozameh and O Moreschi (Bristol: Institute of Physics Publishing) pp 119-50 (Preprint gr-qc/9304012)
    • (1993) General Relativity and Gravitation , pp. 119-150
    • Kuchar, K.V.1
  • 17
    • 0034862506 scopus 로고    scopus 로고
    • Quantum gravity: A progress report
    • Carlip S 2001 Quantum gravity: a progress report Rep. Prog. Phys. 64 885 (Preprint gr-qc/0108040)
    • (2001) Rep. Prog. Phys. , vol.64 , Issue.8 , pp. 885
    • Carlip, S.1
  • 18
    • 0037278308 scopus 로고    scopus 로고
    • Quantum gravity, shadow states, and quantum mechanics
    • Ashtekar A, Fairhurst S and Willis J L 2003 Quantum gravity, shadow states, and quantum mechanics Class. Quantum Grav. 20 1031-62 (Preprint gr-qc/0207106)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.6 , pp. 1031-1062
    • Ashtekar, A.1    Fairhurst, S.2    Willis, J.L.3
  • 19
    • 0035532879 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): I. General properties
    • Thiemann T 2001 Gauge field theory coherent states (GCS): I. General properties Class. Quantum Grav. 18 2025-64 (Preprint hep-th/0005233)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.11 , pp. 2025-2064
    • Thiemann, T.1
  • 20
    • 0035536916 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): II. Peakedness properties
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS): II. Peakedness properties Class. Quantum Grav. 18 2561-636 (Preprint hep-th/0005237)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.14 , pp. 2561-2636
    • Thiemann, T.1    Winkler, O.2
  • 21
    • 0035540112 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS) III: Ehrenfest theorems
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS) III: Ehrenfest theorems Class. Quantum Grav. 18 4629-82 (Preprint hep-th/0005234)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.21 , pp. 4629-4682
    • Thiemann, T.1    Winkler, O.2
  • 22
    • 0035604034 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit
    • Thiemann T and Winkler O 2001 Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit Class. Quantum Grav. 18 4997-5054 (Preprint hep-th/0005235)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.23 , pp. 4997-5054
    • Thiemann, T.1    Winkler, O.2
  • 24
    • 0035833231 scopus 로고    scopus 로고
    • Coherent states for canonical quantum general relativity and the infinite tensor product extension
    • Sahlmann H, Thiemann T and Winkler O 2001 Coherent states for canonical quantum general relativity and the infinite tensor product extension Nucl. Phys. B 606 401-40 (Preprint gr-qc/0102038)
    • (2001) Nucl. Phys. , vol.606 , Issue.1-2 , pp. 401-440
    • Sahlmann, H.1    Thiemann, T.2    Winkler, O.3
  • 25
    • 0031495925 scopus 로고    scopus 로고
    • Matrix elements of Thiemann's Hamiltonian constraint in loop quantum gravity
    • Borissov R, De Pietri R and Rovelli C 1997 Matrix elements of Thiemann's Hamiltonian constraint in loop quantum gravity Class. Quantum Grav. 14 2793-823 (Preprint gr-qc/9703090)
    • (1997) Class. Quantum Grav. , vol.14 , Issue.10 , pp. 2793-2823
    • Borissov, R.1    De Pietri, R.2    Rovelli, C.3
  • 27
    • 0000856078 scopus 로고    scopus 로고
    • Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
    • Thiemann T 1996 Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity Phys. Lett. B 380 257-64 (Preprint gr-qc/9606088)
    • (1996) Phys. Lett. , vol.380 , Issue.3-4 , pp. 257-264
    • Thiemann, T.1
  • 28
    • 0009152914 scopus 로고    scopus 로고
    • On the consistency of the constraint algebra in spin network quantum gravity
    • Gambini R, Lewandowski J, Marolf D and Pullin J 1998 On the consistency of the constraint algebra in spin network quantum gravity Int. J. Mod. Phys. D 7 97-109 (Preprint gr-qc/9710018)
    • (1998) Int. J. Mod. Phys. , vol.7 , Issue.1 , pp. 97-109
    • Gambini, R.1    Lewandowski, J.2    Marolf, D.3    Pullin, J.4
  • 29
    • 0032382623 scopus 로고    scopus 로고
    • Loop constraints: A habitat and their algebra
    • Lewandowski J and Marolf D 1998 Loop constraints: a habitat and their algebra Int. J. Mod. Phys. D 7 299-330 (Preprint gr-qc/9710016)
    • (1998) Int. J. Mod. Phys. , vol.7 , Issue.2 , pp. 299-330
    • Lewandowski, J.1    Marolf, D.2
  • 31
    • 0009224957 scopus 로고
    • Conceptual and geometrical problems in quantum gravity
    • Isham C 1991 Conceptual and geometrical problems in quantum gravity Recent Aspects of Quantum Fields (Springer Lecture Notes in Physics vol 396) ed H Mitter and H Gausterer (Berlin: Springer)
    • (1991) Recent Aspects of Quantum Fields
    • Isham, C.1
  • 32
    • 0001216818 scopus 로고
    • T C P, quantum gravity, the cosmological constant and all that...
    • Banks T 1985 T C P, quantum gravity, the cosmological constant and all that... Nucl. Phys. B 249 332
    • (1985) Nucl. Phys. , vol.249 , Issue.2 , pp. 332
    • Banks, T.1
  • 35
    • 33845343289 scopus 로고
    • What is observable in classical and quantum gravity?
    • Rovelli C 1991 What is observable in classical and quantum gravity? Class. Quantum Grav. 8 297-316
    • (1991) Class. Quantum Grav. , vol.8 , Issue.2 , pp. 297-316
    • Rovelli, C.1
  • 36
    • 0037084831 scopus 로고    scopus 로고
    • GPS observables in general relativity
    • Rovelli C 2002 GPS observables in general relativity Phys. Rev. D 65 044017 (Preprint gr-qc/0110003)
    • (2002) Phys. Rev. , vol.65 , Issue.4 , pp. 044017
    • Rovelli, C.1
  • 37
    • 85038321662 scopus 로고    scopus 로고
    • Partial observables
    • Rovelli C 2002 Partial observables Phys. Rev. D 65 124013 (Preprint gr-qc/0110035)
    • (2002) Phys. Rev. , vol.65 , Issue.12 , pp. 124013
    • Rovelli, C.1
  • 38
    • 17544403102 scopus 로고    scopus 로고
    • Absence of singularity in loop quantum cosmology
    • Bojowald M 2001 Absence of singularity in loop quantum cosmology Phys. Rev. Lett. 86 5227-30 (Preprint gr-qc/0102069)
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.23 , pp. 5227-5230
    • Bojowald, M.1
  • 40
    • 14644412765 scopus 로고    scopus 로고
    • Cosmology as relativistic particle mechanics: From big crunch to big bang
    • Russo J G and Townsend P K 2005 Cosmology as relativistic particle mechanics: from big crunch to big bang Class. Quantum Grav. 22 737-52 (Preprint hep-th/0408220)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.4 , pp. 737-752
    • Russo, J.G.1    Townsend, P.K.2
  • 43
    • 0037165006 scopus 로고    scopus 로고
    • Inflation from quantum geometry
    • Bojowald M 2002 Inflation from quantum geometry Phys. Rev. Lett. 89 261301 (Preprint gr-qc/0206054)
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.26 , pp. 261301
    • Bojowald, M.1
  • 44
    • 33749158861 scopus 로고    scopus 로고
    • On the Hamiltonian constraint of loop quantum cosmology
    • Vandersloot K 2005 On the Hamiltonian constraint of loop quantum cosmology Phys. Rev. D 71 103506 (Preprint gr-qc/0502082)
    • (2005) Phys. Rev. , vol.71 , Issue.10 , pp. 103506
    • Vandersloot, K.1
  • 45
    • 33750485765 scopus 로고
    • Black holes and entropy
    • Bekenstein J D 1973 Black holes and entropy Phys. Rev. D 7 2333-46
    • (1973) Phys. Rev. , vol.7 , Issue.8 , pp. 2333-2346
    • Bekenstein, J.D.1
  • 46
    • 84938421990 scopus 로고
    • Particle creation by black holes
    • Hawking S W 1975 Particle creation by black holes Commun. Math. Phys. 43 199-220
    • (1975) Commun. Math. Phys. , vol.43 , Issue.3 , pp. 199-220
    • Hawking, S.W.1
  • 47
    • 0001020773 scopus 로고    scopus 로고
    • Quantum geometry and black hole entropy
    • Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Quantum geometry and black hole entropy Phys. Rev. Lett. 80 904-7 (Preprint gr-qc/9710007)
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.5 , pp. 904-907
    • Ashtekar, A.1    Baez, J.2    Corichi, A.3    Krasnov, K.4
  • 48
    • 68949199245 scopus 로고    scopus 로고
    • Quantum geometry of isolated horizons and black hole entropy
    • Ashtekar A, Baez J C and Krasnov K 2000 Quantum geometry of isolated horizons and black hole entropy Adv. Theor. Math. Phys. 4 1-94 (Preprint gr-qc/0005126)
    • (2000) Adv. Theor. Math. Phys. , vol.4 , pp. 1-94
    • Ashtekar, A.1    Baez, J.C.2    Krasnov, K.3
  • 49
    • 0041686993 scopus 로고    scopus 로고
    • Microscopic origin of the Bekenstein-Hawking entropy
    • Strominger A and Vafa C 1996 Microscopic origin of the Bekenstein-Hawking entropy Phys. Lett. B 379 99-104 (Preprint hep-th/9601029)
    • (1996) Phys. Lett. , vol.379 , Issue.1-4 , pp. 99-104
    • Strominger, A.1    Vafa, C.2
  • 51
    • 11244310956 scopus 로고    scopus 로고
    • Isolated and dynamical horizons and their applications
    • Ashtekar A and Krishnan B 2004 Isolated and dynamical horizons and their applications Living Rev. Rel. 7 10 http://www.livingreviews.org/lrr-2004-10 (Preprint gr-qc/0407042)
    • (2004) Living Rev. Rel. , vol.7 , pp. 10
    • Ashtekar, A.1    Krishnan, B.2
  • 53
    • 0009249782 scopus 로고    scopus 로고
    • 'Sum over surfaces' form of loop quantum gravity
    • Reisenberger M P and Rovelli C 1997 'Sum over surfaces' form of loop quantum gravity Phys. Rev. D 56 3490-508 (Preprint gr-qc/9612035)
    • (1997) Phys. Rev. , vol.56 , Issue.6 , pp. 3490-3508
    • Reisenberger, M.P.1    Rovelli, C.2
  • 54
    • 0032396211 scopus 로고    scopus 로고
    • Spin foam models
    • Baez J C 1998 Spin foam models Class. Quantum Grav. 15 1827-58 (Preprint gr-qc/9709052)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.7 , pp. 1827-1858
    • Baez, J.C.1
  • 55
    • 0032362859 scopus 로고    scopus 로고
    • Relativistic spin networks and quantum gravity
    • Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys. 39 3296-302 (Preprint gr-qc/9709028)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3296-3302
    • Barrett, J.W.1    Crane, L.2
  • 56
    • 85037893689 scopus 로고    scopus 로고
    • The projector on physical states in loop quantum gravity
    • Rovelli C 1999 The projector on physical states in loop quantum gravity Phys. Rev. D 59 104015 (Preprint gr-qc/9806121)
    • (1999) Phys. Rev. , vol.59 , Issue.10 , pp. 104015
    • Rovelli, C.1
  • 61
    • 0039258183 scopus 로고
    • Aspects of canonical gravity and supergravity
    • Nicolai H and Matschull H J 1993 Aspects of canonical gravity and supergravity J. Geom. Phys. 11 15-62
    • (1993) J. Geom. Phys. , vol.11 , Issue.1-4 , pp. 15-62
    • Nicolai, H.1    Matschull, H.J.2
  • 62
    • 34047263340 scopus 로고
    • Domain of dependence
    • Geroch R 1970 Domain of dependence J. Math. Phys. 11 437
    • (1970) J. Math. Phys. , vol.11 , Issue.2 , pp. 437
    • Geroch, R.1
  • 63
    • 36049055961 scopus 로고
    • Quantum theory of gravity: I. the canonical theory
    • DeWitt B S 1967 Quantum theory of gravity: I. The canonical theory Phys. Rev. 160 1113-48
    • (1967) Phys. Rev. , vol.160 , Issue.5 , pp. 1113-1148
    • Dewitt, B.S.1
  • 64
    • 36049056072 scopus 로고
    • Quantum theory of gravity: II. the manifestly covariant theory
    • DeWitt B S 1967 Quantum theory of gravity: II. The manifestly covariant theory Phys. Rev. 162 1195-239
    • (1967) Phys. Rev. , vol.162 , Issue.5 , pp. 1195-1239
    • Dewitt, B.S.1
  • 65
    • 0000045531 scopus 로고
    • Quantum theory of gravity: III. Applications of the covariant theory
    • DeWitt B S 1967 Quantum theory of gravity: III. Applications of the covariant theory Phys. Rev. 162 1239-56
    • (1967) Phys. Rev. , vol.162 , Issue.5 , pp. 1239-1256
    • Dewitt, B.S.1
  • 66
    • 0003232849 scopus 로고
    • Geometrodynamics and the issue of the final state
    • Wheeler J A 1964 Geometrodynamics and the issue of the final state Relativity, Groups and Topology ed C DeWitt and J Wheeler (London: Blackie)
    • (1964) Relativity, Groups and Topology
    • Wheeler, J.A.1
  • 67
    • 33644584965 scopus 로고
    • New Hamiltonian formulation of general relativity
    • Ashtekar A 1987 New Hamiltonian formulation of general relativity Phys. Rev. D 36 1587-602
    • (1987) Phys. Rev. , vol.36 , Issue.6 , pp. 1587-1602
    • Ashtekar, A.1
  • 68
    • 0000200934 scopus 로고    scopus 로고
    • Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
    • Holst S 1996 Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action Phys. Rev. D 53 5966-9 (Preprint gr-qc/9511026)
    • (1996) Phys. Rev. , vol.53 , Issue.10 , pp. 5966-5969
    • Holst, S.1
  • 69
    • 0034903159 scopus 로고    scopus 로고
    • Comment on Holst's Lagrangian formulation
    • Samuel J 2001 Comment on Holst's Lagrangian formulation Phys. Rev. D 63 068501
    • (2001) Phys. Rev. , vol.63 , Issue.6 , pp. 068501
    • Samuel, J.1
  • 70
    • 22144440004 scopus 로고
    • Real Ashtekar variables for Lorentzian signature space times
    • Barbero J F 1995 Real Ashtekar variables for Lorentzian signature space times Phys. Rev. D 51 5507-10 (Preprint gr-qc/9410014)
    • (1995) Phys. Rev. , vol.51 , Issue.10 , pp. 5507-5510
    • Barbero, J.F.1
  • 71
    • 0039646461 scopus 로고    scopus 로고
    • Real and complex connections for canonical gravity
    • Immirzi G 1997 Real and complex connections for canonical gravity Class. Quantum Grav. 14 L177-81 (Preprint gr-qc/9612030)
    • (1997) Class. Quantum Grav. , vol.14 , Issue.10
    • Immirzi, G.1
  • 72
    • 16644390563 scopus 로고    scopus 로고
    • Yang-Mills analogues of the Immirzi ambiguity
    • Gambini R, Obregon O and Pullin J 1999 Yang-Mills analogues of the Immirzi ambiguity Phys. Rev. D 59 047505 (Preprint gr-qc/9801055)
    • (1999) Phys. Rev. , vol.59 , Issue.4 , pp. 047505
    • Gambini, R.1    Obregon, O.2    Pullin, J.3
  • 73
    • 0001947108 scopus 로고
    • Yang-Mills theory and general relativity in three and four dimensions
    • Bengtsson I 1989 Yang-Mills theory and general relativity in three and four dimensions Phys. Lett. B 220 51
    • (1989) Phys. Lett. , vol.220 , Issue.1-2 , pp. 51
    • Bengtsson, I.1
  • 74
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73 (Preprint gr-qc/9606089)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 839-873
    • Thiemann, T.1
  • 75
    • 0347903666 scopus 로고
    • The canonical structure of maximally extended supergravity in three dimensions
    • Nicolai H 1991 The canonical structure of maximally extended supergravity in three dimensions Nucl. Phys. B 353 493-518
    • (1991) Nucl. Phys. , vol.353 , Issue.2 , pp. 493-518
    • Nicolai, H.1
  • 76
    • 0002535460 scopus 로고
    • Canonical quantum supergravity in three dimensions
    • Matschull H J and Nicolai H 1994 Canonical quantum supergravity in three dimensions Nucl. Phys. B 411 609-46 (Preprint gr-qc/9306018)
    • (1994) Nucl. Phys. , vol.411 , Issue.2-3 , pp. 609-646
    • Matschull, H.J.1    Nicolai, H.2
  • 77
    • 0034336562 scopus 로고    scopus 로고
    • Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?
    • Samuel J 2000 Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity? Class. Quantum Grav. 17 L141-8 (Preprint gr-qc/0005095)
    • (2000) Class. Quantum Grav. , vol.17 , Issue.20
    • Samuel, J.1
  • 78
    • 33750558782 scopus 로고
    • Holomorphic wave function of the universe
    • Kodama H 1990 Holomorphic wave function of the universe Phys. Rev. D 42 2548-65
    • (1990) Phys. Rev. , vol.42 , Issue.8 , pp. 2548-2565
    • Kodama, H.1
  • 79
    • 0001845884 scopus 로고
    • Topological investigations in quantized gauge theories
    • Jackiw R 1985 Topological investigations in quantized gauge theories Current Algebra and Anomalies ed S B Treiman (Singapore: World Scientific) p 258 exercise 3.7
    • (1985) Current Algebra and Anomalies , pp. 258
    • Jackiw, R.1
  • 81
    • 4344650842 scopus 로고    scopus 로고
    • The linearization of the Kodama state
    • Freidel L and Smolin L 2004 The linearization of the Kodama state Class. Quantum Grav. 21 3831-44 (Preprint hep-th/0310224)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.16 , pp. 3831-3844
    • Freidel, L.1    Smolin, L.2
  • 82
    • 13344250498 scopus 로고
    • Loop space representation of quantum general relativity
    • Rovelli C and Smolin L 1990 Loop space representation of quantum general relativity Nucl. Phys. B 331 80
    • (1990) Nucl. Phys. , vol.331 , Issue.1 , pp. 80
    • Rovelli, C.1    Smolin, L.2
  • 84
    • 0032334342 scopus 로고    scopus 로고
    • Quantum theory of geometry: III. Non-commutativity of Riemannian structures
    • Ashtekar A, Corichi A and Zapata J A 1998 Quantum theory of geometry: III. Non-commutativity of Riemannian structures Class. Quantum Grav. 15 2955-72 (Preprint gr-qc/9806041)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.10 , pp. 2955-2972
    • Ashtekar, A.1    Corichi, A.2    Zapata, J.A.3
  • 85
    • 0000485738 scopus 로고
    • Linear transformations in Hilbert space: III. Operational methods and group theory
    • Stone M H 1930 Linear transformations in Hilbert space: III. Operational methods and group theory Proc. Natl. Acad. Sci. 16 172-5
    • (1930) Proc. Natl. Acad. Sci. , vol.16 , pp. 172-175
    • Stone, M.H.1
  • 86
    • 0000560345 scopus 로고
    • Die Eindeutigkeit der Schrödingerschen Operatoren
    • von Neumann J 1931 Die Eindeutigkeit der Schrödingerschen Operatoren Math. Ann. 104 570
    • (1931) Math. Ann. , vol.104 , Issue.1 , pp. 570
    • Von Neumann, J.1
  • 88
    • 0037272589 scopus 로고    scopus 로고
    • Spin foam models for quantum gravity
    • Perez A 2003 Spin foam models for quantum gravity Class. Quantum Grav. 20 R43 (Preprint gr-qc/0301113)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.6 , pp. 43
    • Perez, A.1
  • 92
    • 0242298648 scopus 로고    scopus 로고
    • Diffeomorphism covariant representations of the holonomy-flux *-algebra
    • Okolow A and Lewandowski J 2003 Diffeomorphism covariant representations of the holonomy-flux *-algebra Class. Quantum Grav. 20 3543-68 (Preprint gr-qc/0302059)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.16 , pp. 3543-3568
    • Okolow, A.1    Lewandowski, J.2
  • 94
    • 14544278360 scopus 로고    scopus 로고
    • Automorphism covariant representations of the holonomy-flux *-algebra
    • Okolow A and Lewandowski J 2005 Automorphism covariant representations of the holonomy-flux *-algebra Class. Quantum Grav. 22 657-80 (Preprint gr-qc/0405119)
    • (2005) Class. Quantum Grav. , vol.22 , Issue.4 , pp. 657-680
    • Okolow, A.1    Lewandowski, J.2
  • 95
    • 0040955595 scopus 로고
    • Covariant QED without indefinite metric
    • Thirring W and Narnhofer H 1992 Covariant QED without indefinite metric Rev. Math. Phys. SI1 197-211
    • (1992) Rev. Math. Phys. , vol.4 , pp. 197-211
    • Thirring, W.1    Narnhofer, H.2
  • 96
    • 0005776731 scopus 로고
    • Loop equations and 1/N expansion
    • Migdal A A 1983 Loop equations and 1/N expansion Phys. Rev. 102 199-290
    • (1983) Phys. Rev. , vol.102 , pp. 199-290
    • Migdal, A.A.1
  • 103
    • 0040952194 scopus 로고
    • Dust as a standard of space and time in canonical quantum gravity
    • Brown J D and Kuchar K V 1995 Dust as a standard of space and time in canonical quantum gravity Phys. Rev. D 51 5600-29 (Preprint gr-qc/9409001)
    • (1995) Phys. Rev. , vol.51 , Issue.10 , pp. 5600-5629
    • Brown, J.D.1    Kuchar, K.V.2
  • 108
    • 0001979597 scopus 로고    scopus 로고
    • Quantum theory of geometry: I. Area operators
    • Ashtekar A and Lewandowski J 1997 Quantum theory of geometry: I. Area operators Class. Quantum Grav. 14 A55-82 (Preprint gr-qc/9602046)
    • (1997) Class. Quantum Grav. , vol.14
    • Ashtekar, A.1    Lewandowski, J.2
  • 109
    • 0001037369 scopus 로고    scopus 로고
    • Quantum theory of geometry: II. Volume operators
    • Ashtekar A and Lewandowski J 1998 Quantum theory of geometry: II. Volume operators Adv. Theor. Math. Phys. 1 388 (Preprint gr-qc/9711031)
    • (1998) Adv. Theor. Math. Phys. , vol.1 , pp. 388
    • Ashtekar, A.1    Lewandowski, J.2
  • 110
    • 0032364977 scopus 로고    scopus 로고
    • A length operator for canonical quantum gravity
    • Thiemann T 1998 A length operator for canonical quantum gravity J. Math. Phys. 39 3372-92 (Preprint gr-qc/9606092)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3372-3392
    • Thiemann, T.1
  • 111
    • 10044276928 scopus 로고    scopus 로고
    • Black hole entropy from quantum geometry
    • Domagala M and Lewandowski J 2004 Black hole entropy from quantum geometry Class. Quantum Grav. 21 5233-44 (Preprint gr-qc/0407051)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.22 , pp. 5233-5244
    • Domagala, M.1    Lewandowski, J.2
  • 112
    • 10044267716 scopus 로고    scopus 로고
    • Black hole entropy in loop quantum gravity
    • Meissner K A 2004 Black hole entropy in loop quantum gravity Class. Quantum Grav. 21 5245-52 (Preprint gr-qc/0407052)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.22 , pp. 5245-5252
    • Meissner, K.A.1
  • 113
    • 19444370826 scopus 로고    scopus 로고
    • An improved lower bound on black hole entropy in the quantum geometry approach
    • Ghosh A and Mitra P 2005 An improved lower bound on black hole entropy in the quantum geometry approach Phys. Lett. B 616 114-7 (Preprint gr-qc/0411035)
    • (2005) Phys. Lett. , vol.616 , Issue.1-2 , pp. 114-117
    • Ghosh, A.1    Mitra, P.2
  • 115
    • 0032379628 scopus 로고    scopus 로고
    • Closed formula for the matrix elements of the volume operator in canonical quantum gravity
    • Thiemann T 1998 Closed formula for the matrix elements of the volume operator in canonical quantum gravity J. Math. Phys. 39 3347-71 (Preprint gr-qc/9606091)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3347-3371
    • Thiemann, T.1
  • 116
    • 2742537895 scopus 로고    scopus 로고
    • Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity
    • De Pietri R and Rovelli C 1996 Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity Phys. Rev. D 54 2664-90 (Preprint gr-qc/9602023)
    • (1996) Phys. Rev. , vol.54 , Issue.4 , pp. 2664-2690
    • De Pietri, R.1    Rovelli, C.2
  • 119
    • 0032347659 scopus 로고    scopus 로고
    • Quantization of diffeomorphism-invariant theories with fermions
    • Baez J C and Krasnov K V 1998 Quantization of diffeomorphism-invariant theories with fermions J. Math. Phys. 39 1251-71 (Preprint hep-th/9703112)
    • (1998) J. Math. Phys. , vol.39 , Issue.3 , pp. 1251-1271
    • Baez, J.C.1    Krasnov, K.V.2
  • 120
    • 0032369376 scopus 로고    scopus 로고
    • QSD V: Quantum gravity as the natural regulator of matter quantum field theories
    • Thiemann T 1998 QSD V: quantum gravity as the natural regulator of matter quantum field theories Class. Quantum Grav. 15 1281-314 (Preprint gr-qc/9705019)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1281-1314
    • Thiemann, T.1
  • 121
    • 17144395566 scopus 로고    scopus 로고
    • Fock representations from U(1) holonomy algebras
    • Varadarajan M 2000 Fock representations from U(1) holonomy algebras Phys. Rev. D 61 104001 (Preprint gr-qc/0001050)
    • (2000) Phys. Rev. , vol.61 , Issue.10 , pp. 104001
    • Varadarajan, M.1
  • 122
    • 0035890657 scopus 로고    scopus 로고
    • Photons from quantized electric flux representations
    • Varadarajan M 2001 Photons from quantized electric flux representations Phys. Rev. D 64 104003 (Preprint gr-qc/0104051)
    • (2001) Phys. Rev. , vol.64 , Issue.10 , pp. 104003
    • Varadarajan, M.1
  • 123
    • 0035538326 scopus 로고    scopus 로고
    • Relation between polymer and Fock excitations
    • Ashtekar A and Lewandowski J 2001 Relation between polymer and Fock excitations Class. Quantum Grav. 18 L117-28 (Preprint gr-qc/0107043)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.18
    • Ashtekar, A.1    Lewandowski, J.2
  • 124
    • 0037276007 scopus 로고    scopus 로고
    • Polymer and Fock representations for a scalar field
    • Ashtekar A, Lewandowski J and Sahlmann H 2003 Polymer and Fock representations for a scalar field Class. Quantum Grav. 20 L11-1 (Preprint gr-qc/0211012)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.1
    • Ashtekar, A.1    Lewandowski, J.2    Sahlmann, H.3
  • 125
    • 0032361785 scopus 로고    scopus 로고
    • Kinematical Hilbert spaces for fermionic and Higgs quantum field theories
    • Thiemann T 1998 Kinematical Hilbert spaces for fermionic and Higgs quantum field theories Class. Quantum Grav. 15 1487-512 (Preprint gr-qc/9705021)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.6 , pp. 1487-1512
    • Thiemann, T.1
  • 126
    • 21844520846 scopus 로고
    • Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
    • Ashtekar A, Lewandowski J, Marolf D, Mourao J and Thiemann T 1995 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom J. Math. Phys. 36 6456-93 (Preprint gr-qc/9504018)
    • (1995) J. Math. Phys. , vol.36 , Issue.11 , pp. 6456-6493
    • Ashtekar, A.1    Lewandowski, J.2    Marolf, D.3    Mourao, J.4    Thiemann, T.5
  • 127
    • 24244469570 scopus 로고
    • Ashtekar's variables for arbitrary gauge group
    • Peldan P 1992 Ashtekar's variables for arbitrary gauge group Phys. Rev. D 46 2279-82 (Preprint hep-th/9204069)
    • (1992) Phys. Rev. , vol.46 , Issue.6 , pp. 2279-2282
    • Peldan, P.1
  • 128
    • 0346575463 scopus 로고
    • Towards a unification of gravity and Yang-Mills theory
    • Chakraborty S and Peldan P 1994 Towards a unification of gravity and Yang-Mills theory Phys. Rev. Lett. 73 1195-98 (Preprint gr-qc/9401028)
    • (1994) Phys. Rev. Lett. , vol.73 , Issue.9 , pp. 1195-1198
    • Chakraborty, S.1    Peldan, P.2
  • 129
    • 0345764718 scopus 로고    scopus 로고
    • New canonical variables for D ≤ 11 supergravity
    • Melosch S and Nicolai H 1998 New canonical variables for D ≤ 11 supergravity Phys. Lett. B 416 91-100 (Preprint hep-th/9709227)
    • (1998) Phys. Lett. , vol.416 , Issue.1-2 , pp. 91-100
    • Melosch, S.1    Nicolai, H.2
  • 130
    • 0000444694 scopus 로고
    • Constraint quantization of parametrized relativistic gauge systems in curved spacetimes
    • Hajicek P and Kuchar K V 1990 Constraint quantization of parametrized relativistic gauge systems in curved spacetimes Phys. Rev. D 41 1091-104
    • (1990) Phys. Rev. , vol.41 , Issue.4 , pp. 1091-1104
    • Hajicek, P.1    Kuchar, K.V.2
  • 131
    • 33744722968 scopus 로고
    • (2 + 1)-dimensional gravity as an exactly soluble system
    • Witten E 1988 (2 + 1)-dimensional gravity as an exactly soluble system Nucl. Phys. B 311 46
    • (1988) Nucl. Phys. , vol.311 , Issue.1 , pp. 46
    • Witten, E.1
  • 133
    • 0000338447 scopus 로고
    • Physical states in d ≤ 3, N ≤ 2 supergravity
    • de Wit B, Matschull H J and Nicolai H 1993 Physical states in d ≤ 3, N ≤ 2 supergravity Phys. Lett. B 318 115-21 (Preprint gr-qc/9309006)
    • (1993) Phys. Lett. , vol.318 , Issue.1 , pp. 115-121
    • De Wit, B.1    Matschull, H.J.2    Nicolai, H.3
  • 134
    • 0031525356 scopus 로고    scopus 로고
    • A combinatorial approach to diffeomorphism invariant quantum gauge theories
    • Zapata J A 1997 A combinatorial approach to diffeomorphism invariant quantum gauge theories J. Math. Phys. 38 5663-81 (Preprint gr-qc/9703037)
    • (1997) J. Math. Phys. , vol.38 , Issue.11 , pp. 5663-5681
    • Zapata, J.A.1
  • 135
    • 3543119516 scopus 로고    scopus 로고
    • Separable Hilbert space in loop quantum gravity
    • Fairbairn W and Rovelli C 2004 Separable Hilbert space in loop quantum gravity J. Math. Phys. 45 2802-14 (Preprint gr-qc/0403047)
    • (2004) J. Math. Phys. , vol.45 , Issue.7 , pp. 2802-2814
    • Fairbairn, W.1    Rovelli, C.2
  • 138
    • 16644368788 scopus 로고    scopus 로고
    • Long range correlations in quantum gravity
    • Neville D E 1999 Long range correlations in quantum gravity Phys. Rev. D 59 044032 (Preprint gr-qc/9803066)
    • (1999) Phys. Rev. , vol.59 , Issue.4 , pp. 044032
    • Neville, D.E.1
  • 139
    • 0348194815 scopus 로고    scopus 로고
    • On the diffeomorphism-commutators of lattice quantum gravity
    • Loll R 1998 On the diffeomorphism-commutators of lattice quantum gravity Class. Quantum Grav. 15 799-809 (Preprint gr-qc/9708025)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 799-809
    • Loll, R.1
  • 140
    • 0032367604 scopus 로고    scopus 로고
    • QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity
    • Thiemann T 1998 QSD III: quantum constraint algebra and physical scalar product in quantum general relativity Class. Quantum Grav. 15 1207-47 (Preprint gr-qc/9705017)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.5 , pp. 1207-1247
    • Thiemann, T.1
  • 141
    • 0000270340 scopus 로고
    • On the symmetries of Hamiltonian systems
    • Mukhanov V and Wipf A 1995 On the symmetries of Hamiltonian systems Int. J. Mod. Phys. A 10 579-610 (Preprint hep-th/9401083)
    • (1995) Int. J. Mod. Phys. , vol.10 , Issue.4 , pp. 579-610
    • Mukhanov, V.1    Wipf, A.2
  • 142
    • 85038283369 scopus 로고    scopus 로고
    • Diffeomorphisms as symplectomorphisms in history phase space: Bosonic string model
    • Kouletsis I and Kuchar K V 2002 Diffeomorphisms as symplectomorphisms in history phase space: bosonic string model Phys. Rev. D 65 125026 (Preprint gr-qc/0108022)
    • (2002) Phys. Rev. , vol.65 , Issue.12 , pp. 125026
    • Kouletsis, I.1    Kuchar, K.V.2
  • 147
    • 23044477343 scopus 로고    scopus 로고
    • DDF and Pohlmeyer invariants of (super)string
    • Schreiber U 2004 DDF and Pohlmeyer invariants of (super)string J. High Energy Phys. JHEP05(2004)027 (Preprint hep-th/0403260)
    • (2004) J. High Energy Phys. , vol.2004 , Issue.5 , pp. 027
    • Schreiber, U.1
  • 149
    • 4243755568 scopus 로고
    • Exact Dirac quantization of all 2-d dilaton gravity theories
    • Louis-Martinez D, Gegenberg J and Kunstatter G 1994 Exact Dirac quantization of all 2-d dilaton gravity theories Phys. Lett. B 321 193-8 (Preprint gr-qc/9309018)
    • (1994) Phys. Lett. , vol.321 , Issue.3 , pp. 193-198
    • Louis-Martinez, D.1    Gegenberg, J.2    Kunstatter, G.3
  • 150
    • 0000090020 scopus 로고    scopus 로고
    • Functional Schrödinger and BRST quantization of (1 + 1)-dimensional gravity
    • Benedict E, Jackiw R and Lee H J 1996 Functional Schrödinger and BRST quantization of (1 + 1)-dimensional gravity Phys. Rev. D 54 6213-25 (Preprint hep-th/9607062)
    • (1996) Phys. Rev. , vol.54 , Issue.10 , pp. 6213-6225
    • Benedict, E.1    Jackiw, R.2    Lee, H.J.3
  • 151
    • 0030078514 scopus 로고    scopus 로고
    • Physical states in matter coupled dilaton gravity
    • Cangemi D, Jackiw R and Zwiebach B 1996 Physical states in matter coupled dilaton gravity Ann. Phys. 245 408-44 (Preprint hep-th/9505161)
    • (1996) Ann. Phys. , vol.245 , Issue.2 , pp. 408-444
    • Cangemi, D.1    Jackiw, R.2    Zwiebach, B.3
  • 152
    • 0036790010 scopus 로고    scopus 로고
    • Dilaton gravity in two dimensions
    • Grumiller D, Kummer W and Vassilevich D V 2002 Dilaton gravity in two dimensions Phys. Rep. 369 327-430 (Preprint hep-th/0204253)
    • (2002) Phys. Rep. , vol.369 , Issue.4 , pp. 327-430
    • Grumiller, D.1    Kummer, W.2    Vassilevich, D.V.3
  • 153
    • 0542370770 scopus 로고    scopus 로고
    • Quantum geometry with intrinsic local causality
    • Markopoulou F and Smolin L 1998 Quantum geometry with intrinsic local causality Phys. Rev. D 58 084032 (Preprint gr-qc/9712067)
    • (1998) Phys. Rev. , vol.58 , Issue.8 , pp. 084032
    • Markopoulou, F.1    Smolin, L.2
  • 155
    • 25444478334 scopus 로고    scopus 로고
    • The future of string theory-a conversation with Brian Greene
    • Musser G 2003 The future of string theory-a conversation with Brian Greene Sci. Am. (November) 48-53
    • (2003) Sci. Am. , Issue.NOVEMBER , pp. 48-53
    • Musser, G.1
  • 156
    • 25444495653 scopus 로고    scopus 로고
    • Overbye D 2004 String theory, at 20, explains it all (or not), New York Times 7 December
    • (2004)
    • Overbye, D.1


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