Background independence in a nutshell: The dynamics of a tetrahedron

Classical and Quantum Gravity

Volumn 22, Issue 14, 2005, Pages 2971-2989

  Colosi, Daniele ^a,b   Doplicher, Luisa ^a,b   Fairbairn, Winston ^a   Modesto, Leonardo ^a,c   Noui, Karim ^d   Rovelli, Carlo ^a,b  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^c UNIVERSITY OF TURIN   (Italy)

^d PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22544447805     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/14/008     Document Type: Article

References (29)

1. Rovelli C 2004 Quantum Gravity (Cambridge: Cambridge University Press)
2. Thiemann T Modern canonical quantum general relativity Preprint gr-qc/0110034
3. Perez A 2002 Spin foam models for quantum gravity Class. Quantum Grav. 20 R43 (Preprint gr-qc/0301113)
4. Oeckl R 2003 A 'general boundary' formulation for quantum mechanics and quantum gravity Phys. Lett. B 575 318-24
5. Oeckl R 2003 Schrödinger's cat and the clock: lessons for quantum gravity Class. Quantum Grav. 20 5371-80
6. Conrady F, Doplicher L, Oeckl R, Rovelli C and Testa M 2004 Minkowski vacuum in background independent quantum gravity Phys. Rev. D 69 064019
7. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
8. Colosi D and Rovelli C 2003 A simple background-independent Hamiltonian quantum model Phys. Rev. D 68 104008 (Preprint gr-qc/0306059)
9. Modesto L and Rovelli C 2005 Particle scattering in loop quantum gravity Preprint gr-qc/0502036
10. Colosi D and Rovelli C 2004 Global particles, local particles Preprint gr-qc/0409054
11. Conrady F and Rovelli C 2004 Generalized Schrödinger equation in Euclidean field theory Int. J. Mod. Phys. A 19 1-32 (Preprint hep-th/0310246)
12. Doplicher L 2004 Generalized Tomonaga-Schwinger equation from the Hadamard formula Phys. Rev. D 70 064037
13. Tomonaga S 1946 On a relativistically invariant formulation of the quantum theory of wave fields Prog. Theor. Phys. 1 27
14. Schwinger J 1948 Quantum electrodynamics I. A covariant formulation Phys. Rev. 74 1439
15. Regge T 1961 General relativity without coordinates Nuovo Cimento 19 558-71
16. Ooguri H and Sasakura N 1991 Discrete and continuum approaches to three-dimensional quantum gravity Mod. Phys. Lett. A 6 3591-600
17. Mäkelä J 1993 Simplicial Wheeler-DeWitt equation in 2+1 spacetime dimensions Phys. Rev. D 48 1679
18. Mäkelä J 1993 Phase space coordinates and the Hamiltonian constraint of Regge calculus Phys. Rev. D 49 2882
19. Rovelli C 2002 Partial observables Phys. Rev. D 65 124013
20. Hawking S W and Hunter C J 1996 The gravitational Hamiltonian in the presence of non-orthogonal boundaries Class. Quantum Grav. 13 2735-52
21. O'Loughlin M 2002 Boundary actions in Ponzano-Regge discretization, quantum groups and AdS3 Adv. Theor. Math. Phys. 6 795-826
22. Hamilton W R 1834 On the application to dynamics of a general mathematical method previously applied to optics British Association Report pp 513-8
23. Arnowitt R, Deser S and Misner C W 1962 The dynamics of general relativity Gravitation: An Introduction to Current Research ed L Witten (New York: Wiley) p 227
24. Rovelli C 1993 Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model is the loop representation basis Phys. Rev. D 48 2702
25. Ponzano G and Regge T 1968 Semiclassical limit of Racah coefficients Spectroscopy and Group Theoretical Methods in Physics ed F Bloch (Amsterdam: North-Holland)
26. Rovelli C 1991 Time in quantum gravity: an hypothesis Phys. Rev. D 43 442-56
27. 't Hooft G 1997 Quantization of space and time in 3 and 4 spacetime dimensions Quantum Fields and Quantum Spacetime ed G 't Hooft et al (New York: Plenum) Proc. NATO Advanced Study Institute on Quantum Fields and Quantum Space Time (Cargese 22 July-3 Aug)
28. 't Hooft G 1996 Quantization of point particles in (2+1)-dimensional gravity and spacetime discreteness Class. Quantum Grav. 13 1023 (Preprint gr-qc/9601014)
29. Bojowald M and Morales-Tecotl H A 2004 Cosmological applications of loop quantum gravity Proc. Fifth Mexican School (DGFM) The Early Universe and Observational Cosmology (Lecture Notes in Physics vol 646) pp 421-62 (Preprint gr-qc/0306008)