-
1
-
-
70449705567
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
(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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
49
-
-
0038867320
-
A paralellizable implicit evolution scheme for Regge calculus
-
Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 A paralellizable implicit evolution scheme for Regge calculus Int. J. Theor. Phys. 36 815 (arXiv:gr-qc/9411008)
-
(1997)
Int. J. Theor. Phys.
, vol.36
, Issue.4
, pp. 815
-
-
Barrett, J.W.1
Galassi, M.2
Miller, W.A.3
Sorkin, R.D.4
Tuckey, P.A.5
Williams, R.M.6
-
50
-
-
84959193128
-
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
-
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
-
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
-
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
-
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
-
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
-
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
|