Reduced phase space quantization and Dirac observables

Classical and Quantum Gravity

Volumn 23, Issue 4, 2006, Pages 1163-1180

  Thiemann, T ^a,b  

^a ALBERT EINSTEIN INSTITUT   (Germany)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32344436612     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/23/4/006     Document Type: Article

References (23)

1. Torre C G 1993 Gravitational observables and local symmetries Phys. Rev. D 48 2373 (Preprint gr-qc/9306030)
2. Thiemann T 2003 The Phoenix Project: master constraint programme for loop quantum gravity Preprint gr-qc/0305080
3. Rovelli C 2004 Quantum Gravity (Cambridge: Cambridge University Press)
4. Thiemann T 2006 Modern Canonical Quantum General Relativity (Cambridge: Cambridge University Press) (Preprint gr-qc/0110034)
5. Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: I. General framework Class. Quantum Grav. 23 1025-65 (Preprint gr-qc/0411138)
6. Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: II. Finite dimensional systems Class. Quantum Grav. 23 1067-88 (Preprint gr-qc/0411139)
7. Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: III. Models Class. Quantum Grav. 23 1089-120 (Preprint gr-qc/0411140)
8. Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: IV. Free field theories Class. Quantum Grav. 23 1121-42 (Preprint gr-qc/0411141)
9. Dittrich B and Thiemann T 2006 Testing the master constraint programme for loop quantum gravity: V. Interacting field theories Class. Quantum Grav. 23 1143-62 (Preprint gr-qc/0411141)
10. Dittrich B Partial and Complete Observables for Hamiltonian Constrained Systems Preprint gr-qc/0411013
11. Rovelli C 1991 Conceptual Problems in Quantum Gravity ed A Ashtekar and J Stachel (Boston, MA: Birkhäuser)
12. Rovelli C 1991 What is observable in classical and quantum gravity Class. Quantum Grav. 8 1895
13. Rovelli C 2002 Partial observables Phys. Rev. D 65 124013
14. Lykhaovich S L and Marnelius R 2001 Extended observables in Hamiltonian theories with constraints Int. J. Mod. Phys. A 16 4271 (Preprint hep-th/0105099)
15. Henneaux M and Teitelboim C 1992 Quantization of Gauge Systems (Princeton, NJ: Princeton University Press)
16. Thiemann T 1998 QSD 5: quantum gravity as the natural regulator of matter quantum field theories Class. Quantum Grav. 15 1281-314 (Preprint gr-qc/9705019)
17. Thiemann T 1996 Anomaly-free formulation of nonperturbative, four-dimensional Lorentzian quantum gravity Phys. Lett. B 380 257-64 (Preprint gr-qc/9606088)
18. Thiemann T 1998 Quantum spin dynamics (QSD) Class. Quantum Grav. 15 839-73 (Preprint gr-qc/9606089)
19. Thiemann T 1998 QSD 2: the kernel of the Wheeler DeWitt constraint Class. Quantum Grav. 15 875-905 (Preprint gr-qc/9606090)
20. Thiemann T 1998 QSD 3: quantum constraint algebra and physical inner product in quantum general relativity Class. Quantum Grav. 15 1207-47 (Preprint gr-qc/9705017)
21. Thiemann T 1998 QSD 4: (2+1) Euclidean quantum gravity as a model to test (3+1) Lorentzian quantum gravity Class. Quantum Grav. 15 1249-80 (Preprint gr-qc/9705018)
22. Thiemann T 1998 QSD 6: quantum Poincaré algebra and quantum positivity of energy theorem for canonical quantum gravity Class. Quantum Grav. 15 1463-85 (Preprint gr-qc/9705020)
23. Kuchař K 1972 A bubble-time canonical formalism for geometrodynamics J. Math. Phys. 13 768