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Volumn 721, Issue , 2007, Pages 151-184

Loop and spin foam quantum gravity: A brief guide for beginners

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EID: 34848908327     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-71117-9_9     Document Type: Article
Times cited : (26)

References (87)
  • 1
    • 84943156758 scopus 로고    scopus 로고
    • Discrete approaches to quantum gravity in four dimensions
    • R. Loll, 'Discrete approaches to quantum gravity in four dimensions', Living Rev. Rel. 1 (1998) 13, http://xxx.lanl.gov/abs/gr-qc/9805049gr-qc/9805049.
    • (1998) Living Rev. Rel , vol.1 , pp. 13
    • Loll, R.1
  • 2
    • 0000731188 scopus 로고
    • Action integrals and partition functions in quantum gravity
    • G. W. Gibbons and S. W. Hawking, 'Action integrals and partition functions in quantum gravity', Phys. Rev. D15 (1977) 2752-2756.
    • (1977) Phys. Rev , vol.D15 , pp. 2752-2756
    • Gibbons, G.W.1    Hawking, S.W.2
  • 3
    • 0002241988 scopus 로고
    • The path-integral approach to quantum gravity
    • S. Hawking and W. Israel, eds, pp, Cambridge University Press
    • S. W. Hawking, 'The path-integral approach to quantum gravity', in ' An Einstein Centenary Survey', S. Hawking and W. Israel, eds., pp. 746-789. Cambridge University Press, 1979.
    • (1979) An Einstein Centenary Survey , pp. 746-789
    • Hawking, S.W.1
  • 4
    • 0011040162 scopus 로고
    • Ultraviolet divergences in quantum gravity
    • S. Hawking and W. Israel, eds, pp, Cambridge University Press
    • S. Weinberg, 'Ultraviolet divergences in quantum gravity', in 'An Einstein Centenary Survey', S. Hawking and W. Israel, eds., pp. 790-832. Cambridge University Press, 1979.
    • (1979) An Einstein Centenary Survey , pp. 790-832
    • Weinberg, S.1
  • 6
    • 0036281915 scopus 로고    scopus 로고
    • Is quantum Einstein gravity nonperturbatively renormalizable?
    • O. Lauscher and M. Reuter, "Is quantum Einstein gravity nonperturbatively renormalizable?', Class. Quant. Grav. 19 (2002) 483-492, http://xxx.lanl.gov/abs/hep-th/0110021hep-th/0110021.
    • (2002) Class. Quant. Grav , vol.19 , pp. 483-492
    • Lauscher, O.1    Reuter, M.2
  • 8
    • 25444494733 scopus 로고    scopus 로고
    • Loop quantum gravity: An outside view
    • H. Nicolai, K. Peeters, and M. Zamaklar, 'Loop quantum gravity: An outside view', Class. Quant. Grav. 22 (2005) R193-R247, http://xxx.lanl.gov/abs/hepth/0501114hep-th/0501114.
    • (2005) Class. Quant. Grav , vol.22
    • Nicolai, H.1    Peeters, K.2    Zamaklar, M.3
  • 11
    • 4043142118 scopus 로고    scopus 로고
    • Background independent quantum gravity: A status report
    • A. Ashtekar and J. Lewandowski, "Background independent quantum gravity: A status report", Class. Quant. Grav. 21 (2004) R53, http://xxx.lanl.gov/abs/gr-qc/0404018gr-qc/0404018.
    • (2004) Class. Quant. Grav , vol.21
    • Ashtekar, A.1    Lewandowski, J.2
  • 12
    • 34848889393 scopus 로고    scopus 로고
    • quantum gravity and spin foams
    • A. Perez, 'Introduction to loop quantum gravity and spin foams', http://xxx.lanl.gov/abs/gr-qc/0409061gr-qc/0409061.
    • Introduction to loop
    • Perez, A.1
  • 13
    • 0001903332 scopus 로고    scopus 로고
    • An introduction to spin foam models of BF theory and quantum gravity
    • J. C. Baez, "An introduction to spin foam models of BF theory and quantum gravity", Lect. Notes Phys. 543 (2000) 25-94, http://xxx.lanl.gov/abs/grqc/9905087gr-qc/9905087.
    • (2000) Lect. Notes Phys , vol.543 , pp. 25-94
    • Baez, J.C.1
  • 14
    • 0037272589 scopus 로고    scopus 로고
    • Spin foam models for quantum gravity
    • A. Perez, "Spin foam models for quantum gravity", Class. Quant. Grav. 20 (2003) R43, http://xxx.lanl.gov/abs/gr-qc/0301113gr-qc/0301113. 153
    • (2003) Class. Quant. Grav , vol.20
    • Perez, A.1
  • 15
    • 1842855789 scopus 로고    scopus 로고
    • Cambridge University Press
    • C. Rovelli, 'Quantum gravity', Cambridge University Press, 2004.
    • (2004) Quantum gravity
    • Rovelli, C.1
  • 18
    • 34848893412 scopus 로고    scopus 로고
    • Loops '05
    • "Loops '05", http://loops05.aei.mpg.de/.
  • 19
    • 0037278308 scopus 로고    scopus 로고
    • Quantum gravity, shadow states, and quantum mechanics
    • A. Ashtekar, S. Fairhurst, and J. L. Willis, "Quantum gravity, shadow states, and quantum mechanics", Class. Quant. Grav. 20 (2003) 1031-1062, http://xxx.lanl.gov/abs/gr-qc/0207106gr-qc/0207106.
    • (2003) Class. Quant. Grav , vol.20 , pp. 1031-1062
    • Ashtekar, A.1    Fairhurst, S.2    Willis, J.L.3
  • 20
    • 0035532879 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS). I: General properties
    • T. Thiemann, "Gauge field theory coherent states (GCS). I: General properties", Class. Quant. Grav. 18 (2001) 2025-2064, http://xxx.lanl.gov/abs/hepth/0005233hep-th/0005233.
    • (2001) Class. Quant. Grav , vol.18 , pp. 2025-2064
    • Thiemann, T.1
  • 21
    • 0035536916 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS). II: Peakedness properties
    • T. Thiemann and O. Winkler, "Gauge field theory coherent states (GCS). II: Peakedness properties", Class. Quant. Grav. 18 (2001) 2561-2636, http://xxx.lanl.gov/abs/hep-th/0005237hep-th/0005237.
    • (2001) Class. Quant. Grav , vol.18 , pp. 2561-2636
    • Thiemann, T.1    Winkler, O.2
  • 22
    • 0035540112 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS) III: Ehrenfest theorems
    • T. Thiemann and O. Winkler, "Gauge field theory coherent states (GCS) III: Ehrenfest theorems", Class. Quant. Grav. 18 (2001) 4629-4682, http://xxx.lanl.gov/abs/hep-th/0005234hep-th/0005234.
    • (2001) Class. Quant. Grav , vol.18 , pp. 4629-4682
    • Thiemann, T.1    Winkler, O.2
  • 23
    • 0035604034 scopus 로고    scopus 로고
    • Gauge field theory coherent states (GCS). IV: In.nite tensor product and thermodynamical limit
    • 4997-5054
    • T. Thiemann and O. Winkler, "Gauge field theory coherent states (GCS). IV: In.nite tensor product and thermodynamical limit", Class. Quant. Grav. 18 (2001) 4997-5054, http://xxx.lanl.gov/abs/hep-th/0005235hep-th/0005235.
    • (2001) Class. Quant. Grav , vol.18
    • Thiemann, T.1    Winkler, O.2
  • 25
    • 0035833231 scopus 로고    scopus 로고
    • Coherent states for canonical quantum general relativity and the in.nite tensor product extension
    • H. Sahlmann, T. Thiemann, and O. Winkler, "Coherent states for canonical quantum general relativity and the in.nite tensor product extension", Nucl. Phys. B606 (2001) 401-440, http://xxx.lanl.gov/abs/grqc/0102038gr-qc/0102038.
    • (2001) Nucl. Phys , vol.B606 , pp. 401-440
    • Sahlmann, H.1    Thiemann, T.2    Winkler, O.3
  • 28
    • 3543119516 scopus 로고    scopus 로고
    • Separable Hilbert space in loop quantum gravity
    • W. Fairbairn and C. Rovelli, "Separable Hilbert space in loop quantum gravity", J. Math. Phys. 45 (2004) 2802-2814, http://xxx.lanl.gov/abs/grqc/0403047gr-qc/0403047.
    • (2004) J. Math. Phys , vol.45 , pp. 2802-2814
    • Fairbairn, W.1    Rovelli, C.2
  • 29
    • 0031495925 scopus 로고    scopus 로고
    • Matrix elements of Thiemann's Hamiltonian constraint in loop quantum gravity
    • R. Borissov, R. De Pietri, and C. Rovelli, "Matrix elements of Thiemann's Hamiltonian constraint in loop quantum gravity", Class. Quant. Grav. 14 (1997) 2793-2823, http://xxx.lanl.gov/abs/gr-qc/9703090gr-qc/9703090.
    • (1997) Class. Quant. Grav , vol.14 , pp. 2793-2823
    • Borissov, R.1    De Pietri, R.2    Rovelli, C.3
  • 30
    • 0032399747 scopus 로고    scopus 로고
    • Quantum spin dynamics (QSD)
    • T. Thiemann, "Quantum spin dynamics (QSD)", Class. Quant. Grav. 15 (1998) 839-873, http://xxx.lanl.gov/abs/gr-qc/9606089gr-qc/9606089.
    • (1998) Class. Quant. Grav , vol.15 , pp. 839-873
    • Thiemann, T.1
  • 31
    • 2742537895 scopus 로고    scopus 로고
    • Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity
    • R. De Pietri and C. Rovelli, "Geometry eigenvalues and scalar product from recoupling theory in loop quantum gravity", Phys. Rev. D54 (1996) 2664-2690, http://xxx.lanl.gov/abs/gr-qc/9602023gr-qc/9602023.
    • (1996) Phys. Rev , vol.D54 , pp. 2664-2690
    • De Pietri, R.1    Rovelli, C.2
  • 33
    • 0032382623 scopus 로고    scopus 로고
    • Loop constraints: A habitat and their algebra
    • J. Lewandowski and D. Marolf, "Loop constraints: A habitat and their algebra", Int. J. Mod. Phys. D7 (1998) 299-330, http://xxx.lanl.gov/abs/grqc/9710016gr-qc/9710016.
    • (1998) Int. J. Mod. Phys , vol.D7 , pp. 299-330
    • Lewandowski, J.1    Marolf, D.2
  • 35
    • 16644368788 scopus 로고    scopus 로고
    • Long range correlations in quantum gravity
    • D. E. Neville, "Long range correlations in quantum gravity", Phys. Rev. D59 (1999) 044032, http://xxx.lanl.gov/abs/gr-qc/9803066gr-qc/9803066.
    • (1999) Phys. Rev , vol.D59 , pp. 044032
    • Neville, D.E.1
  • 36
    • 0348194815 scopus 로고    scopus 로고
    • On the diffeomorphism-commutators of lattice quantum gravity
    • R. Loll, "On the diffeomorphism-commutators of lattice quantum gravity", Class. Quant. Grav. 15 (1998) 799-809, http://xxx.lanl.gov/abs/grqc/9708025gr-qc/9708025.
    • (1998) Class. Quant. Grav , vol.15 , pp. 799-809
    • Loll, R.1
  • 37
    • 0000856078 scopus 로고    scopus 로고
    • Anomaly-free formulation of non-perturbative, fourdimensional Lorentzian quantum gravity
    • T. Thiemann, "Anomaly-free formulation of non-perturbative, fourdimensional Lorentzian quantum gravity", Phys. Lett. B380 (1996) 257-264, http://xxx.lanl.gov/abs/gr-qc/9606088gr-qc/9606088.
    • (1996) Phys. Lett , vol.B380 , pp. 257-264
    • Thiemann, T.1
  • 38
    • 0009152914 scopus 로고    scopus 로고
    • On the consistency of the constraint algebra in spin network quantum gravity
    • R. Gambini, J. Lewandowski, D. Marolf, and J. Pullin, "On the consistency of the constraint algebra in spin network quantum gravity", Int. J. Mod. Phys. D7 (1998) 97-109, http://xxx.lanl.gov/abs/gr-qc/9710018gr-qc/9710018.
    • (1998) Int. J. Mod. Phys , vol.D7 , pp. 97-109
    • Gambini, R.1    Lewandowski, J.2    Marolf, D.3    Pullin, J.4
  • 41
    • 0009249782 scopus 로고    scopus 로고
    • Sum over surfaces' form of loop quantum gravity
    • M. P. Reisenberger and C. Rovelli, "Sum over surfaces' form of loop quantum gravity", Phys. Rev. D56 (1997) 3490-3508, http://xxx.lanl.gov/abs/gr-qc/9612035gr-qc/9612035.
    • (1997) Phys. Rev , vol.D56 , pp. 3490-3508
    • Reisenberger, M.P.1    Rovelli, C.2
  • 42
    • 0032396211 scopus 로고    scopus 로고
    • Spin foam models
    • J. C. Baez, "Spin foam models", Class. Quant. Grav. 15 (1998) 1827-1858, http://xxx.lanl.gov/abs/gr-qc/9709052gr-qc/9709052.
    • (1998) Class. Quant. Grav , vol.15 , pp. 1827-1858
    • Baez, J.C.1
  • 43
    • 34848823862 scopus 로고    scopus 로고
    • R. De Pietri, "Canonical "loop" quantum gravity and spin foam models", http://xxx.lanl.gov/abs/gr-qc/9903076gr-qc/9903076.
    • Canonical loop
    • De Pietri, R.1
  • 44
    • 85037893689 scopus 로고    scopus 로고
    • The projector on physical states in loop quantum gravity
    • C. Rovelli, "The projector on physical states in loop quantum gravity", Phys. Rev. D59 (1999) 104015, http://xxx.lanl.gov/abs/grqc/9806121gr-qc/9806121.
    • (1999) Phys. Rev , vol.D59 , pp. 104015
    • Rovelli, C.1
  • 45
    • 0009662469 scopus 로고
    • Three-dimensional Einstein gravity: Dynamics of flat space
    • S. Deser, R. Jackiw, and G. 't Hooft, "Three-dimensional Einstein gravity: Dynamics of flat space", Ann. Phys. 152 (1984) 220.
    • (1984) Ann. Phys , vol.152 , pp. 220
    • Deser, S.1    Jackiw, R.2    't Hooft, G.3
  • 46
    • 33744722968 scopus 로고
    • (2+1)-Dimensional gravity as an exactly soluble system
    • E. Witten, "(2+1)-Dimensional gravity as an exactly soluble system", Nucl. Phys. B311 (1988) 46.
    • (1988) Nucl. Phys , vol.B311 , pp. 46
    • Witten, E.1
  • 48
    • 24144434102 scopus 로고    scopus 로고
    • Three dimensional loop quantum gravity: Physical scalar product and spin foam models
    • K. Noui and A. Perez, "Three dimensional loop quantum gravity: Physical scalar product and spin foam models", Class. Quant. Grav. 22 (2005) 1739-1762, http://xxx.lanl.gov/abs/gr-qc/0402110gr-qc/0402110.
    • (2005) Class. Quant. Grav , vol.22 , pp. 1739-1762
    • Noui, K.1    Perez, A.2
  • 49
    • 0000800899 scopus 로고
    • State sum invariants of compact three manifolds with boundary and 6j symbols
    • M. Karowski, W. Muller, and R. Schrader, "State sum invariants of compact three manifolds with boundary and 6j symbols", J. Phys. A25 (1992) 4847-4860.
    • (1992) J. Phys , vol.A25 , pp. 4847-4860
    • Karowski, M.1    Muller, W.2    Schrader, R.3
  • 50
    • 0032362859 scopus 로고    scopus 로고
    • Relativistic spin networks and quantum gravity
    • J. W. Barrett and L. Crane, "Relativistic spin networks and quantum gravity", J. Math. Phys. 39 (1998) 3296-3302, http://xxx.lanl.gov/abs/grqc/9709028gr-qc/9709028.
    • (1998) J. Math. Phys , vol.39 , pp. 3296-3302
    • Barrett, J.W.1    Crane, L.2
  • 51
    • 0001603179 scopus 로고    scopus 로고
    • Spin foam models and the classical action principle
    • L. Freidel and K. Krasnov, "Spin foam models and the classical action principle", Adv. Theor. Math. Phys. 2 (1999) 1183-1247, http://xxx.lanl.gov/abs/hep-th/9807092hep-th/9807092.
    • (1999) Adv. Theor. Math. Phys , vol.2 , pp. 1183-1247
    • Freidel, L.1    Krasnov, K.2
  • 52
    • 0001569507 scopus 로고
    • Topological lattice models in four dimensions
    • H. Ooguri, "Topological lattice models in four dimensions", Mod. Phys. Lett. A7 (1992) 2799-2810, http://xxx.lanl.gov/abs/hep-th/9205090hep-th/9205090.
    • (1992) Mod. Phys. Lett , vol.A7 , pp. 2799-2810
    • Ooguri, H.1
  • 53
    • 0002986922 scopus 로고
    • A categorical construction of 4-D topological quantum field theories
    • L. Kauffman and R. Baadhio, eds, pp, World Scientific, Singapore
    • L. Crane and D. Yetter, "A categorical construction of 4-D topological quantum field theories", in 'Quantum Topology', L. Kauffman and R. Baadhio, eds., pp. 120-130. World Scientific, Singapore, 1993. http://xxx.lanl.gov/abs/hep-th/9301062hep-th/9301062.
    • (1993) Quantum Topology , pp. 120-130
    • Crane, L.1    Yetter, D.2
  • 54
    • 0031501254 scopus 로고    scopus 로고
    • State sum invariants of four-manifolds I
    • L. Crane, L. H. Kauffman, and D. N. Yetter, "State sum invariants of four-manifolds I", J. Knot Theor Ramifications 6 (1997) 177-234, http://xxx.lanl.gov/abs/hep-th/9409167hep-th/9409167.
    • (1997) J. Knot Theor Ramifications , vol.6 , pp. 177-234
    • Crane, L.1    Kauffman, L.H.2    Yetter, D.N.3
  • 55
    • 0033239766 scopus 로고    scopus 로고
    • On relativistic spin network vertices
    • M. P. Reisenberger, "On relativistic spin network vertices", J. Math. Phys. 40 (1999) 2046-2054, http://xxx.lanl.gov/abs/gr-qc/9809067gr-qc/9809067.
    • (1999) J. Math. Phys , vol.40 , pp. 2046-2054
    • Reisenberger, M.P.1
  • 56
    • 29144431659 scopus 로고    scopus 로고
    • Group field theory: An overview
    • L. Freidel, "Group field theory: An overview", Int. J. Theor. Phys. 44 (2005) 1769-1783, http://xxx.lanl.gov/abs/hep-th/0505016hep-th/0505016.
    • (2005) Int. J. Theor. Phys , vol.44 , pp. 1769-1783
    • Freidel, L.1
  • 57
    • 0036377632 scopus 로고    scopus 로고
    • Spin foam models of Riemannian quantum gravity
    • J. C. Baez, J. D. Christensen, T. R. Halford, and D. C. Tsang, "Spin foam models of Riemannian quantum gravity", Class. Quant. Grav. 19 (2002) 4627-4648, http://xxx.lanl.gov/abs/gr-qc/0202017gr-qc/0202017.
    • (2002) Class. Quant. Grav , vol.19 , pp. 4627-4648
    • Baez, J.C.1    Christensen, J.D.2    Halford, T.R.3    Tsang, D.C.4
  • 58
    • 0034342396 scopus 로고    scopus 로고
    • A Lorentzian signature model for quantum general relativity
    • J. W. Barrett and L. Crane, "A Lorentzian signature model for quantum general relativity", Class. Quant. Grav. 17 (2000) 3101-3118, http://xxx.lanl.gov/abs/gr-qc/9904025gr-qc/9904025.
    • (2000) Class. Quant. Grav , vol.17 , pp. 3101-3118
    • Barrett, J.W.1    Crane, L.2
  • 59
    • 33750821200 scopus 로고    scopus 로고
    • Spin foam model for Lorentzian general relativity
    • A. Perez and C. Rovelli, "Spin foam model for Lorentzian general relativity", Phys. Rev. D63 (2001) 041501, http://xxx.lanl.gov/abs/grqc/0009021gr-qc/0009021.
    • (2001) Phys. Rev , vol.D63 , pp. 041501
    • Perez, A.1    Rovelli, C.2
  • 60
    • 0001751343 scopus 로고
    • Regge calculus: A bibliography and brief review
    • R. M. Williams and P. A. Tuckey, "Regge calculus: A bibliography and brief review", Class. Quant. Grav. 9 (1992) 1409-1422.
    • (1992) Class. Quant. Grav , vol.9 , pp. 1409-1422
    • Williams, R.M.1    Tuckey, P.A.2
  • 61
    • 0010886503 scopus 로고
    • Analytical and numerical study of the model of dynamically triangulated random surfaces
    • D. V. Boulatov, V. A. Kazakov, I. K. Kostov, and A. A. Migdal, "Analytical and numerical study of the model of dynamically triangulated random surfaces", Nucl. Phys. B275 (1986) 641.
    • (1986) Nucl. Phys , vol.B275 , pp. 641
    • Boulatov, D.V.1    Kazakov, V.A.2    Kostov, I.K.3    Migdal, A.A.4
  • 62
    • 0001649489 scopus 로고
    • Scaling properties of randomly triangulated planar random surfaces: A numerical study
    • A. Billoire and F. David, "Scaling properties of randomly triangulated planar random surfaces: A numerical study", Nucl. Phys. B275 (1986) 617.
    • (1986) Nucl. Phys , vol.B275 , pp. 617
    • Billoire, A.1    David, F.2
  • 63
    • 4243420171 scopus 로고
    • The appearance of critical dimensions in regulated string theories
    • J. Ambjørn, B. Durhuus, J. Frohlich, and P. Orland, "The appearance of critical dimensions in regulated string theories", Nucl. Phys. B270 (1986) 457.
    • (1986) Nucl. Phys , vol.B270 , pp. 457
    • Ambjørn, J.1    Durhuus, B.2    Frohlich, J.3    Orland, P.4
  • 64
    • 0013418415 scopus 로고    scopus 로고
    • Dynamically triangulating Lorentzian quantum gravity
    • J. Ambjøorn, J. Jurkiewicz, and R. Loll, "Dynamically triangulating Lorentzian quantum gravity", Nucl. Phys. B610 (2001) 347-382, http://xxx.lanl.gov/abs/hep-th/0105267hep-th/0105267.
    • (2001) Nucl. Phys , vol.B610 , pp. 347-382
    • Ambjøorn, J.1    Jurkiewicz, J.2    Loll, R.3
  • 65
    • 13244268779 scopus 로고    scopus 로고
    • Emergence of a 4D world from causal quantum gravity
    • J. Ambjøorn, J. Jurkiewicz, and R. Loll, "Emergence of a 4D world from causal quantum gravity", Phys. Rev. Lett. 93 (2004) 131301, http://xxx.lanl.gov/abs/hep-th/0404156hep-th/0404156.
    • (2004) Phys. Rev. Lett , vol.93 , pp. 131301
    • Ambjøorn, J.1    Jurkiewicz, J.2    Loll, R.3
  • 66
    • 0000153055 scopus 로고
    • Failure of the Regge approach in two-dimensional quantum gravity
    • W. Bock and J. C. Vink, "Failure of the Regge approach in two-dimensional quantum gravity", Nucl. Phys. B438 (1995) 320-346, http://xxx.lanl.gov/abs/hep-lat/9406018hep-lat/9406018.
    • (1995) Nucl. Phys , vol.B438 , pp. 320-346
    • Bock, W.1    Vink, J.C.2
  • 67
    • 21844486262 scopus 로고
    • Measure dependence of 2D simplicial quantum gravity
    • C. Holm and W. Janke, "Measure dependence of 2D simplicial quantum gravity", Nucl. Phys. Proc. Suppl. 42 (1995) 722-724, http://xxx.lanl.gov/abs/hep-lat/9501005hep-lat/9501005.
    • (1995) Nucl. Phys. Proc. Suppl , vol.42 , pp. 722-724
    • Holm, C.1    Janke, W.2
  • 68
    • 0031532634 scopus 로고    scopus 로고
    • Spikes in quantum Regge calculus
    • J. Ambjørn, J. L. Nielsen, J. Rolf, and G. K. Savvidy, "Spikes in quantum Regge calculus", Class. Quant. Grav. 14 (1997) 3225-3241, http://xxx.lanl.gov/abs/gr-qc/9704079gr-qc/9704079.
    • (1997) Class. Quant. Grav , vol.14 , pp. 3225-3241
    • Ambjørn, J.1    Nielsen, J.L.2    Rolf, J.3    Savvidy, G.K.4
  • 69
    • 34848855876 scopus 로고    scopus 로고
    • Two-dimensional quantum gravity
    • PhD thesis, University of Copenhagen
    • J. Rolf, "Two-dimensional quantum gravity", PhD thesis, University of Copenhagen, 1998. http://xxx.lanl.gov/abs/hep-th/9810027 hep-th/9810027.
    • (1998)
    • Rolf, J.1
  • 70
    • 17044414806 scopus 로고    scopus 로고
    • On the measure in simplicial gravity
    • H. W. Hamber and R. M. Williams, "On the measure in simplicial gravity", Phys. Rev. D59 (1999) 064014, http://xxx.lanl.gov/abs/hep-th/9708019hep-th/9708019.
    • (1999) Phys. Rev , vol.D59 , pp. 064014
    • Hamber, H.W.1    Williams, R.M.2
  • 73
    • 0000047813 scopus 로고
    • Partition functions and topology changing amplitudes in the 3D lattice gravity of Ponzano and Regge
    • H. Ooguri, "Partition functions and topology changing amplitudes in the 3D lattice gravity of Ponzano and Regge", Nucl. Phys. B382 (1992) 276-304, http://xxx.lanl.gov/abs/hep-th/9112072hep-th/9112072.
    • (1992) Nucl. Phys , vol.B382 , pp. 276-304
    • Ooguri, H.1
  • 75
    • 0002062991 scopus 로고    scopus 로고
    • Classical 6j-symbols and the tetrahedron
    • J. Roberts, "Classical 6j-symbols and the tetrahedron", Geom. Topol. 3 (1999) 21-66, http://xxx.lanl.gov/abs/math-ph/9812013math-ph/9812013.
    • (1999) Geom. Topol , vol.3 , pp. 21-66
    • Roberts, J.1
  • 76
    • 0007296854 scopus 로고    scopus 로고
    • The asymptotics of an amplitude for the 4-simplex
    • J. W. Barrett and R. M. Williams, "The asymptotics of an amplitude for the 4-simplex", Adv. Theor. Math. Phys. 3 (1999) 209-215, http://xxx.lanl.gov/abs/gr-qc/9809032gr-qc/9809032.
    • (1999) Adv. Theor. Math. Phys , vol.3 , pp. 209-215
    • Barrett, J.W.1    Williams, R.M.2
  • 77
    • 0034347134 scopus 로고    scopus 로고
    • Simple spin networks as Feynman graphs
    • L. Freidel and K. Krasnov, "Simple spin networks as Feynman graphs", J. Math. Phys. 41 (2000) 1681-1690, http://xxx.lanl.gov/abs/hepth/9903192hep-th/9903192.
    • (2000) J. Math. Phys , vol.41 , pp. 1681-1690
    • Freidel, L.1    Krasnov, K.2
  • 79
    • 0000567226 scopus 로고
    • Conformal field theories coupled to 2-d gravity in the conformal gauge
    • F. David, "Conformal field theories coupled to 2-d gravity in the conformal gauge", Mod. Phys. Lett. A3 (1988) 1651.
    • (1988) Mod. Phys. Lett , vol.A3 , pp. 1651
    • David, F.1
  • 80
    • 33646060263 scopus 로고
    • Conformal field theory and 2-d quantum gravity or who's afraid of Joseph Liouville?
    • J. Distler and H. Kawai, "Conformal field theory and 2-d quantum gravity or who's afraid of Joseph Liouville?", Nucl. Phys. B321 (1989) 509.
    • (1989) Nucl. Phys , vol.B321 , pp. 509
    • Distler, J.1    Kawai, H.2
  • 82
    • 2942580878 scopus 로고    scopus 로고
    • Diffeomorphisms from finite triangulations and absence of 'local' degrees of freedom
    • H. Pfeiffer, "Diffeomorphisms from finite triangulations and absence of 'local' degrees of freedom", Phys. Lett. B591 (2004) 197-201, http://xxx.lanl.gov/abs/gr-qc/0312060gr-qc/0312060.
    • (2004) Phys. Lett , vol.B591 , pp. 197-201
    • Pfeiffer, H.1
  • 83
    • 0038015839 scopus 로고    scopus 로고
    • Diffeomorphisms and spin foam models
    • L. Freidel and D. Louapre, "Diffeomorphisms and spin foam models", Nucl. Phys. B662 (2003) 279-298, http://xxx.lanl.gov/abs/grqc/0212001gr-qc/0212001.
    • (2003) Nucl. Phys , vol.B662 , pp. 279-298
    • Freidel, L.1    Louapre, D.2
  • 85
    • 0003026840 scopus 로고
    • Quantum gravity at two loops
    • M. H. Goroff and A. Sagnotti, "Quantum gravity at two loops", Phys. Lett. B160 (1985) 81.
    • (1985) Phys. Lett , vol.B160 , pp. 81
    • Goroff, M.H.1    Sagnotti, A.2
  • 86
    • 25344474890 scopus 로고
    • The ultraviolet behavior of Einstein gravity
    • M. H. Goroff and A. Sagnotti, "The ultraviolet behavior of Einstein gravity", Nucl. Phys. B266 (1986) 709.
    • (1986) Nucl. Phys , vol.B266 , pp. 709
    • Goroff, M.H.1    Sagnotti, A.2
  • 87
    • 0000828570 scopus 로고
    • Two loop quantum gravity
    • A. E. M. van de Ven, "Two loop quantum gravity", Nucl. Phys. B378 (1992) 309-366.
    • (1992) Nucl. Phys , vol.B378 , pp. 309-366
    • van de Ven, A.E.M.1


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