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Volumn 26, Issue 22, 2009, Pages

(Broken) Gauge symmetries and constraints in Regge calculus

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EID: 70449698083     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/22/225011     Document Type: Article
Times cited : (131)

References (63)
  • 1
    • 70449705567 scopus 로고    scopus 로고
    • Representations of the Weyl algebra in quantum geometry
    • Fleischhack C 2004 Representations of the Weyl algebra in quantum geometry Commun. Math. Phys. arXiv:math-ph/0407006 (to appear)
    • (2004) Commun. Math. Phys.
    • Fleischhack, C.1
  • 2
    • 33748549372 scopus 로고    scopus 로고
    • Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
    • Lewandowski J, Okolow A, Sahlmann H and Thiemann T 2006 Uniqueness of diffeomorphism invariant states on holonomy-flux algebras Commun. Math. Phys. 267 703 (arXiv:gr-qc/0504147)
    • (2006) Commun. Math. Phys. , vol.267 , Issue.3 , pp. 703
    • Lewandowski, J.1    Okolow, A.2    Sahlmann, H.3    Thiemann, T.4
  • 3
    • 51649208939 scopus 로고
    • General relativity without coordinates
    • Regge T 1961 General relativity without coordinates Nuovo Cimento 19 558
    • (1961) Nuovo Cimento , vol.19 , Issue.3 , pp. 558
    • Regge, T.1
  • 4
    • 0034385504 scopus 로고    scopus 로고
    • Discrete structures in gravity
    • Regge T and Williams R M 2000 Discrete structures in gravity J. Math. Phys. 41 3964 (arXiv:gr-qc/0012035)
    • (2000) J. Math. Phys. , vol.41 , Issue.6 , pp. 3964
    • Regge, T.1    Williams, R.M.2
  • 5
    • 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 (arXiv:gr-qc/0301113)
    • (2003) Class. Quantum Grav. , vol.20 , Issue.6 , pp. 43
    • Perez, A.1
  • 7
    • 35348831786 scopus 로고    scopus 로고
    • The loop-quantum-gravity vertex-amplitude
    • Engle J, Pereira R and Rovelli C 2007 The loop-quantum-gravity vertex-amplitude Phys. Rev. Lett. 99 161301 (arXiv:0705.2388 [gr-qc])
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.16 , pp. 161301
    • Engle, J.1    Pereira, R.2    Rovelli, C.3
  • 8
    • 79051469154 scopus 로고    scopus 로고
    • Consistently solving the simplicity constraints for spinfoam quantum gravity
    • Livine E R and Speziale S 2008 Consistently solving the simplicity constraints for spinfoam quantum gravity Europhys. Lett. 81 50004 (arXiv:0708.1915 [gr-qc])
    • (2008) Europhys. Lett. , vol.81 , Issue.5 , pp. 50004
    • Livine, E.R.1    Speziale, S.2
  • 10
    • 0013418415 scopus 로고    scopus 로고
    • Dynamically triangulating Lorentzian quantum gravity
    • Ambjorn J, Jurkiewicz J and Loll R 2001 Dynamically triangulating Lorentzian quantum gravity Nucl. Phys. B 610 347 (arXiv:hep-th/0105267)
    • (2001) Nucl. Phys. , vol.610 , Issue.1-2 , pp. 347
    • Ambjorn, J.1    Jurkiewicz, J.2    Loll, R.3
  • 11
    • 44449146913 scopus 로고    scopus 로고
    • The emergence of spacetime, or, quantum gravity on your desktop
    • Loll R 2008 The emergence of spacetime, or, quantum gravity on your desktop Class. Quantum Grav. 25 114006 (arXiv:0711.0273 [gr-qc])
    • (2008) Class. Quantum Grav. , vol.25 , Issue.11 , pp. 114006
    • Loll, R.1
  • 12
    • 67649755998 scopus 로고    scopus 로고
    • Path integral representation of spin foam models of 4d gravity
    • Conrady F and Freidel L 2008 Path integral representation of spin foam models of 4d gravity Class. Quantum Grav. 25 245010 (arXiv:0806.4640 [gr-qc])
    • (2008) Class. Quantum Grav. , vol.25 , Issue.24 , pp. 245010
    • Conrady, F.1    Freidel, L.2
  • 13
    • 57149123943 scopus 로고    scopus 로고
    • On the semiclassical limit of 4d spin foam models
    • Conrady F and Freidel L 2008 On the semiclassical limit of 4d spin foam models Phys. Rev. D 78 104023 (arXiv:0809.2280 [gr-qc])
    • (2008) Phys. Rev. , vol.78 , Issue.10 , pp. 104023
    • Conrady, F.1    Freidel, L.2
  • 15
    • 0000229693 scopus 로고
    • A (3+1) formulation of Regge calculus
    • Piran T and Williams R M 1986 A (3+1) formulation Of Regge calculus Phys. Rev. D 33 1622
    • (1986) Phys. Rev. , vol.33 , Issue.6 , pp. 1622
    • Piran, T.1    Williams, R.M.2
  • 16
    • 0013371049 scopus 로고
    • (3+1) Regge calculus with conserved momentum and Hamiltonian constraints
    • Friedman J L and Jack I 1986 (3+1) Regge calculus with conserved momentum and Hamiltonian constraints J. Math. Phys. 27 2973
    • (1986) J. Math. Phys. , vol.27 , Issue.12 , pp. 2973
    • Friedman, J.L.1    Jack, I.2
  • 17
    • 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 (arXiv:gr-qc/9708025)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.4 , pp. 799
    • Loll, R.1
  • 18
    • 0031550703 scopus 로고    scopus 로고
    • Gauge invariance in simplicial gravity
    • Hamber H W and Williams R M 1997 Gauge invariance in simplicial gravity Nucl. Phys. B 487 345 (arXiv:hep-th/9607153)
    • (1997) Nucl. Phys. , vol.487 , Issue.1-2 , pp. 345
    • Hamber, H.W.1    Williams, R.M.2
  • 19
    • 12744276263 scopus 로고
    • Simplicial minisuperspace: I. General discussion
    • Hartle J B 1985 Simplicial minisuperspace: I. General discussion J. Math. Phys. 26 804
    • (1985) J. Math. Phys. , vol.26 , Issue.4 , pp. 804
    • Hartle, J.B.1
  • 20
    • 0039523022 scopus 로고
    • The geometrodynamic content of the Regge equations as illuminated by the boundary of a boundary principle
    • Miller W A 1986 The geometrodynamic content of the Regge equations as illuminated by the boundary of a boundary principle Found. Phys. 16 143
    • (1986) Found. Phys. , vol.16 , Issue.2 , pp. 143
    • Miller, W.A.1
  • 22
    • 21144470791 scopus 로고
    • Approximate diffeomorphism invariance in near flat simplicial geometries
    • Morse P A 1992 Approximate diffeomorphism invariance in near flat simplicial geometries Class. Quantum Grav. 9 2489
    • (1992) Class. Quantum Grav. , vol.9 , Issue.11 , pp. 2489
    • Morse, P.A.1
  • 23
    • 26144448034 scopus 로고
    • Lapse and shift in Regge calculus
    • Galassi M 1993 Lapse and shift in Regge calculus Phys. Rev. D 47 3254
    • (1993) Phys. Rev. , vol.47 , Issue.8 , pp. 3254
    • Galassi, M.1
  • 24
    • 0032345282 scopus 로고    scopus 로고
    • A fully (3+1)-d Regge calculus model of the Kasner cosmology
    • Gentle A P and Miller W A 1998 A fully (3+1)-d Regge calculus model of the Kasner cosmology Class. Quantum Grav. 15 389 (arXiv:gr-qc/9706034)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.2 , pp. 389
    • Gentle, A.P.1    Miller, W.A.2
  • 25
    • 36149034955 scopus 로고
    • A Hamiltonian formulation of topological gravity
    • Waelbroeck H and Zapata J A 1994 A Hamiltonian formulation of topological gravity Class. Quantum Grav. 11 989 (arXiv:gr-qc/9311035)
    • (1994) Class. Quantum Grav. , vol.11 , Issue.4 , pp. 989
    • Waelbroeck, H.1    Zapata, J.A.2
  • 26
    • 22244483398 scopus 로고    scopus 로고
    • Topological lattice gravity using self-dual variables
    • Zapata J A 1996 Topological lattice gravity using self-dual variables Class. Quantum Grav. 13 2617 (arXiv:gr-qc/9603030)
    • (1996) Class. Quantum Grav. , vol.13 , Issue.10 , pp. 2617
    • Zapata, J.A.1
  • 28
    • 0039924169 scopus 로고    scopus 로고
    • Coherent state quantization of constraint systems
    • Klauder J R 1997 Coherent state quantization of constraint systems Ann. Phys. 254 419 (arXiv:quant-ph/9604033)
    • (1997) Ann. Phys. , vol.254 , Issue.2 , pp. 419
    • Klauder, J.R.1
  • 29
    • 0033541897 scopus 로고    scopus 로고
    • Universal procedure for enforcing quantum constraints
    • Klauder J R 1999 Universal procedure for enforcing quantum constraints Nucl. Phys. B 547 397 (arXiv:hep-th/9901010)
    • (1999) Nucl. Phys. , vol.547 , Issue.1-2 , pp. 397
    • Klauder, J.R.1
  • 30
    • 0001586789 scopus 로고    scopus 로고
    • Quantization of constrained systems
    • Klauder J R 2001 Quantization of constrained systems Lecture Notes Phys. 572 143 (arXiv:hep-th/0003297)
    • (2001) Lecture Notes Phys. , vol.572 , pp. 143
    • Klauder, J.R.1
  • 31
    • 33645074936 scopus 로고    scopus 로고
    • The Phoenix project: Master constraint programme for loop quantum gravity
    • Thiemann T 2006 The Phoenix project: master constraint programme for loop quantum gravity Class. Quantum Grav. 23 2211 (arXiv:gr-qc/0305080)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.7 , pp. 2211
    • Thiemann, T.1
  • 32
    • 32344435173 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: I. General framework
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: I. General framework Class. Quantum Grav. 23 1025 (arXiv:gr-qc/0411138)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1025
    • Dittrich, B.1    Thiemann, T.2
  • 33
    • 32344452705 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: II. Finite dimensional systems
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: II. Finite dimensional systems Class. Quantum Grav. 23 1067 (arXiv:gr-qc/0411139)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1067
    • Dittrich, B.1    Thiemann, T.2
  • 34
    • 32344438307 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: III. SL(2,R) models
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: III. SL(2,R) models Class. Quantum Grav. 23 1089 (arXiv:gr-qc/0411140)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1089
    • Dittrich, B.1    Thiemann, T.2
  • 35
    • 32344452822 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: IV: Free field theories
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: IV: Free field theories Class. Quantum Grav. 23 1121 (arXiv:gr-qc/0411141)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1121
    • Dittrich, B.1    Thiemann, T.2
  • 36
    • 32344445853 scopus 로고    scopus 로고
    • Testing the master constraint programme for loop quantum gravity: V. Interacting field theories
    • Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: V. Interacting field theories Class. Quantum Grav. 23 1143 (arXiv:gr-qc/0411142)
    • (2006) Class. Quantum Grav. , vol.23 , Issue.4 , pp. 1143
    • Dittrich, B.1    Thiemann, T.2
  • 37
    • 33845515323 scopus 로고    scopus 로고
    • Uniform discretizations: A new approach for the quantization of totally constrained systems
    • Campiglia M, Di Bartolo C, Gambini R and Pullin J 2006 Uniform discretizations: a new approach for the quantization of totally constrained systems Phys. Rev. D 74 124012 (arXiv:gr-qc/0610023)
    • (2006) Phys. Rev. , vol.74 , Issue.12 , pp. 124012
    • Campiglia, M.1    Di Bartolo, C.2    Gambini, R.3    Pullin, J.4
  • 38
    • 0037449926 scopus 로고    scopus 로고
    • Canonical quantization of general relativity in discrete space-times
    • Gambini R and Pullin J 2003 Canonical quantization of general relativity in discrete space-times Phys. Rev. Lett. 90 021301 (arXiv:gr-qc/0206055)
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.2 , pp. 021301
    • Gambini, R.1    Pullin, J.2
  • 39
    • 17044424985 scopus 로고    scopus 로고
    • Dirac-like approach for consistent discretizations of classical constrained theories
    • Di Bartolo C, Gambini R, Porto R and Pullin J 2005 Dirac-like approach for consistent discretizations of classical constrained theories J. Math. Phys. 46 012901 (arXiv:gr-qc/0405131)
    • (2005) J. Math. Phys. , vol.46 , Issue.1 , pp. 012901
    • Di Bartolo, C.1    Gambini, R.2    Porto, R.3    Pullin, J.4
  • 40
    • 0000650905 scopus 로고
    • Wave functions constructed from an invariant sum over histories satisfy constraints
    • Halliwell J J and Hartle J B 1991 Wave functions constructed from an invariant sum over histories satisfy constraints Phys. Rev. D 43 1170
    • (1991) Phys. Rev. , vol.43 , Issue.4 , pp. 1170
    • Halliwell, J.J.1    Hartle, J.B.2
  • 41
    • 70449702979 scopus 로고    scopus 로고
    • Diffeomorphism symmetry in quantum gravity models
    • Dittrich B 2209 Diffeomorphism symmetry in quantum gravity models Adv. Sci. Lett. 2 121-132 (arXiv:0810.3594 [gr-qc])
    • (2209) Adv. Sci. Lett. , vol.2 , pp. 121-132
    • Dittrich, B.1
  • 42
    • 0002652459 scopus 로고
    • Quantum Regge calculus
    • Rocek M and Williams R M 1981 Quantum Regge calculus Phys. Lett. B 104 31
    • (1981) Phys. Lett. , vol.104 , Issue.1 , pp. 31
    • Rocek, M.1    Williams, R.M.2
  • 43
    • 0000830392 scopus 로고
    • The quantization of Regge calculus
    • Rocek M and Williams R M 1984 The quantization of Regge calculus Z. Phys. C 21 371
    • (1984) Z. Phys. , vol.21 , Issue.4 , pp. 371
    • Rocek, M.1    Williams, R.M.2
  • 44
    • 0038015839 scopus 로고    scopus 로고
    • Diffeomorphisms and spin foam models
    • Freidel L and Louapre D 2003 Diffeomorphisms and spin foam models Nucl. Phys. B 662 279 (arXiv:gr-qc/0212001)
    • (2003) Nucl. Phys. , vol.662 , Issue.1-2 , pp. 279
    • Freidel, L.1    Louapre, D.2
  • 45
    • 36148954380 scopus 로고    scopus 로고
    • Linearized dynamics from the 4-simplex Regge action
    • Dittrich B, Freidel L and Speziale S 2007 Linearized dynamics from the 4-simplex Regge action Phys. Rev. D 76 104020 (arXiv:0707.4513 [gr-qc])
    • (2007) Phys. Rev. , vol.76 , Issue.10 , pp. 104020
    • Dittrich, B.1    Freidel, L.2    Speziale, S.3
  • 46
    • 0000884939 scopus 로고
    • Time evolution problem in Regge calculus
    • Sorkin R 1975 Time evolution problem in Regge calculus Phys. Rev. D 12 385
    • (1975) Phys. Rev. , vol.12 , Issue.2 , pp. 385
    • Sorkin, R.1
  • 47
    • 4243455439 scopus 로고
    • Time evolution problem in Regge calculus
    • Sorkin R 1981 Time evolution problem in Regge calculus Phys. Rev. D 23 565
    • (1981) Phys. Rev. , vol.23 , Issue.2 , pp. 565
    • Sorkin, R.1
  • 48
    • 4243693872 scopus 로고
    • The construction of Sorkin triangulations
    • Tuckey P A 1993 The construction of Sorkin triangulations Class. Quantum Grav. 10 L109 (arXiv:gr-qc/9303011)
    • (1993) Class. Quantum Grav. , vol.10 , Issue.8 , pp. 109
    • Tuckey, P.A.1
  • 50
    • 84959193128 scopus 로고    scopus 로고
    • Discrete mechanics and variational integrators
    • Marsden J and West M 2001 Discrete mechanics and variational integrators Acta Numer. 10 357
    • (2001) Acta Numer. , vol.10 , pp. 357
    • Marsden, J.1    West, M.2
  • 51
    • 0001745744 scopus 로고
    • Boundary terms in the action for the Regge calculus
    • Hartle J B and Sorkin R 1981 Boundary terms in the action for the Regge calculus Gen. Rel. Grav. 13 541
    • (1981) Gen. Rel. Grav. , vol.13 , Issue.6 , pp. 541
    • Hartle, J.B.1    Sorkin, R.2
  • 54
    • 33750443638 scopus 로고    scopus 로고
    • Consistent discretization and canonical classical and quantum Regge calculus
    • Gambini R and Pullin J 2006 Consistent discretization and canonical classical and quantum Regge calculus Int. J. Mod. Phys. D 15 1699 (arXiv:gr-qc/0511096)
    • (2006) Int. J. Mod. Phys. , vol.15 , Issue.10 , pp. 1699
    • Gambini, R.1    Pullin, J.2
  • 57
    • 36749117156 scopus 로고
    • On the separation of Einsteinian substructures
    • Plebanski J F 1977 On the separation of Einsteinian substructures J. Math. Phys. 18 2511
    • (1977) J. Math. Phys. , vol.18 , Issue.12 , pp. 2511
    • Plebanski, J.F.1
  • 58
    • 49349091774 scopus 로고    scopus 로고
    • Area-angle variables for general relativity
    • Dittrich B and Speziale S 2008 Area-angle variables for general relativity New J. Phys. 10 083006 (arXiv:0802.0864 [gr-qc])
    • (2008) New J. Phys. , vol.10 , Issue.8 , pp. 083006
    • Dittrich, B.1    Speziale, S.2
  • 59
    • 0010874369 scopus 로고
    • Diffeomorphism symmetry in simplicial quantum gravity
    • Lehto M, Nielsen H B and Ninomiya M 1986 Diffeomorphism symmetry in simplicial quantum gravity Nucl. Phys. B 272 228
    • (1986) Nucl. Phys. , vol.272 , Issue.1 , pp. 228
    • Lehto, M.1    Nielsen, H.B.2    Ninomiya, M.3
  • 62
    • 34249693573 scopus 로고    scopus 로고
    • Polar duality and the generalized law of sines
    • Kokkendorff S L 2007 Polar duality and the generalized law of sines J. Geom. 86 140
    • (2007) J. Geom. , vol.86 , Issue.1-2 , pp. 140
    • Kokkendorff, S.L.1


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