Relating covariant and canonical approaches to triangulated models of quantum gravity

Classical and Quantum Gravity

Volumn 19, Issue 6, 2002, Pages 1065-1091

  Arnsdorf, Matthias ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036281331     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/6/304     Document Type: Article

References (50)

1. Ambjorn J, Jurkiewicz J and Loll R 2000 Lorentzian and Euclidean quantum gravity: analytical and numerical results Preprint hep-th/0001124
2. Ambjorn J, Jurkiewicz J and Loll R 2001 Dynamically triangulating Lorentzian quantum gravity Nucl. Phys. B 610 347-82 (Ambjorn J, Jurkiewicz J and Loll R 2001 Preprint hep-th/0105267)
3. Ambjorn J, Jurkiewicz J and Loll R 2001 Dynamically triangulating Lorentzian quantum gravity Nucl. Phys. B 610 347-82 (Ambjorn J, Jurkiewicz J and Loll R 2001 Preprint hep-th/0105267)
4. Baez J C 2000 An introduction to spin foam models of bf theory and quantum gravity Lect. Notes Phys. 543 25-94 (Baez J C 1999 Preprint gr-qc/9905087)
5. Baez J C 2000 An introduction to spin foam models of bf theory and quantum gravity Lect. Notes Phys. 543 25-94 (Baez J C 1999 Preprint gr-qc/9905087)
6. Bojowald M 2001 The semiclassical limit of loop quantum cosmology Class. Quantum Grav. 18 L109-L116 (Bojowald M 2001 Preprint gr-qc/0105113)
7. Bojowald M 2001 The semiclassical limit of loop quantum cosmology Class. Quantum Grav. 18 L109-L116 (Bojowald M 2001 Preprint gr-qc/0105113)
8. Carlip S 1998 Quantum gravity in 2+1 Dimensions (Cambridge: Cambridge University Press)
9. Durhuus B and Lee C W H 2001 A string bit Hamiltonian approach to two-dimensional quantum gravity Preprint arXiv:hep-th/0108149
10. Gaul M and Rovelli C 2000 A generalized Hamiltonian constraint operator in loop quantum gravity and its simplest Euclidean matrix elements Preprint gr-qc/0011106
11. Giulini D 2000 Group averaging and refined algebraic quantization Nucl. Phys. Proc. Suppl. 88 385 (Giulini D 2000 Preprint gr-qc/0003040)
12. Giulini D 2000 Group averaging and refined algebraic quantization Nucl. Phys. Proc. Suppl. 88 385 (Giulini D 2000 Preprint gr-qc/0003040)
13. Gombero A 2000 On group averaging for non-compact groups Preprint hep-th/0012040
14. Halliwell J J and Ortiz M E 1993 Sum over histories origin of the composition laws of relativistic quantum mechanics Phys. Rev. D 48 748 (Halliwell J J and Ortiz M E 1992 Preprint gr-qc/9211004)
15. Halliwell J J and Ortiz M E 1993 Sum over histories origin of the composition laws of relativistic quantum mechanics Phys. Rev. D 48 748 (Halliwell J J and Ortiz M E 1992 Preprint gr-qc/9211004)
16. Immirzi G 1997 Quantum gravity and Regge calculus Nucl. Phys. Proc. Suppl. 57 65 (Immirzi G 1997 Preprint gr-qc/9701052)
17. Immirzi G 1997 Quantum gravity and Regge calculus Nucl. Phys. Proc. Suppl. 57 65 (Immirzi G 1997 Preprint gr-qc/9701052)
18. Klauder J R 2001 Quantization of constrained systems Lect. Notes Phys. 572 143-82 (Klauder J R 2000 Preprint hep-th/0003297)
19. Klauder J R 2001 Quantization of constrained systems Lect. Notes Phys. 572 143-82 (Klauder J R 2000 Preprint hep-th/0003297)
20. Major S A and Seifert M D 2001 Modelling space with an atom of quantum geometry Preprint gr-qc/0109056
21. Markopoulou F 1997 Dual formulation of spin network evolution Preprint gr-qc/9704013
22. Marolf D 2000 Group averaging and redefined algebraic quantization: where are we now? Preprint gr-qc/0011112
23. Ooguri H 1992 Partition functions and topology changing amplitudes in the 3-d lattice gravity of Ponzano and Regge Nucl. Phys. B 382 276-304 (Ooguri H 1991 Preprint hep-th/9112072)
24. Ooguri H 1992 Partition functions and topology changing amplitudes in the 3-d lattice gravity of Ponzano and Regge Nucl. Phys. B 382 276-304 (Ooguri H 1991 Preprint hep-th/9112072)
25. Oriti D 2001 Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity Preprint gr-qc/0106091
26. Ponzano G and Regge T 1968 Semiclassical limit of racah coefficients Spectroscopic and Group Theoretical Methods in Physics ed F Bloch (New York: North-Holland)
27. Reisenberger M P 1994 World sheet formulations of gauge theories and gravity Preprint arXiv:gr-qc/9412035
28. Reisenberger M P and Rovelli C 1997 'Sum over surfaces' form of loop quantum gravity Phys. Rev. D 56 3490-508 (Reisenberger M P and Rovelli C 1996 Preprint gr-qc/9612035)
29. Reisenberger M P and Rovelli C 1997 'Sum over surfaces' form of loop quantum gravity Phys. Rev. D 56 3490-508 (Reisenberger M P and Rovelli C 1996 Preprint gr-qc/9612035)
30. Reisenberger M P and Rovelli C 2001 Spacetime as a Feynman diagram: the connection formulation Class. Quantum Grav. 18 121-40 (Reisenberger M P and Rovelli C 2000 Preprint gr-qc/0002095)
31. Reisenberger M P and Rovelli C 2001 Spacetime as a Feynman diagram: the connection formulation Class. Quantum Grav. 18 121-40 (Reisenberger M P and Rovelli C 2000 Preprint gr-qc/0002095)
32. Rovelli C 1993 The basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis Phys. Rev. D 48 2702-07 (Rovelli C 1993 Preprint hep-th/9304164)
33. Rovelli C 1993 The basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis Phys. Rev. D 48 2702-07 (Rovelli C 1993 Preprint hep-th/9304164)
34. Rovelli C 1999 The projector on physical states in loop quantum gravity Phys. Rev. D 59 104015 (Rovelli C 1998 Preprint gr-qc/9806121)
35. Rovelli C 1999 The projector on physical states in loop quantum gravity Phys. Rev. D 59 104015 (Rovelli C 1998 Preprint gr-qc/9806121)
36. Rovelli C and Smolin L 1995 Spin networks and quantum gravity Phys. Rev. D 52 5743-59 (Rovelli C and Smolin L 1995 Preprint gr-qc/9505006)
37. Rovelli C and Smolin L 1995 Spin networks and quantum gravity Phys. Rev. D 52 5743-59 (Rovelli C and Smolin L 1995 Preprint gr-qc/9505006)
38. Rovelli C and Thiemann T 1998 The immirzi parameter in quantum general relativity Phys. Rev. D 57 1009-14 (Rovelli C and Thiemann T 1997 Preprint gr-qc/9705059)
39. Rovelli C and Thiemann T 1998 The immirzi parameter in quantum general relativity Phys. Rev. D 57 1009-14 (Rovelli C and Thiemann T 1997 Preprint gr-qc/9705059)
40. Smolin L 1996 The classical limit and the form of the hamiltonian constrain in non-perturbative quantum general relativity Preprint gr-qc/9609034
41. 't Hooft G 1993 Classical n particle cosmology in (2+1)-dimensions Under the Spell of the Gauge Principle ed G 'tHooft 606-18 't Hooft G 1993 Class. Quantum Grav. 10 79-91
42. 't Hooft G 1993 Classical n particle cosmology in (2+1)-dimensions Under the Spell of the Gauge Principle ed G 'tHooft 606-18 't Hooft G 1993 Class. Quantum Grav. 10 79-91
43. 't Hooft G 1993 The evolution of gravitating point particles in (2+1)-dimensions Class. Quantum Grav. 10 1023-38
44. Teitelboim C 1982 Quantum mechanics of the gravitational field Phys. Rev. D 25 3159
45. Teitelboim C 1983 Causality versus gauge invariance in quantum gravity and supergravity Phys. Rev. Lett. 50 705
46. Teitelboim C 1983 The proper time gauge in quantum theory of gravitation Phys. Rev. D 28 297
47. Thiemann T 1998 Quantum spin dynamics (qsd) Class. Quantum Grav. 15 839-73 (Thiemann T 1996 Preprint gr-qc/9606089)
48. Thiemann T 1998 Quantum spin dynamics (qsd) Class. Quantum Grav. 15 839-73 (Thiemann T 1996 Preprint gr-qc/9606089)
49. Turaev V G and Viro O Y 1992 State sum invariants of 3 manifolds and quantum 6j symbols Topology 31 865-902
50. Witten E 1988 (2+1)-dimensional gravity as an exactly soluble system Nucl. Phys. B 311 46