Alternative approaches to Lorentz violation invariance in loop quantum gravity inspired models

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 8, 2004, Pages

  Alfaro, Jorge ^a   Morales Técotl, Hugo A ^b   Reyes, Marat ^a   Urrutia, L F ^c  

^a Instituto de Astrofísica   (Chile)

^b UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

^c UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; DYNAMICS; ENERGY; GRAVITY; MATHEMATICAL ANALYSIS; MODEL; MOTION; PREDICTION; QUANTUM MECHANICS; QUANTUM THEORY; SPACE;

EID: 84927717851     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.084002     Document Type: Article

References (50)

1. C. Rovelli, Phys. Rev. Lett. 77, 3288 (1996); 10.1103/PhysRevLett.77.3288
2. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett. 80, 904 (1998).10.1103/PhysRevLett.80.904
3. For a review see for example M. Bojowald and H. A. Morales-Técotl, Lect. Notes Phys. 646, 421 (2004).
4. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999).10.1103/PhysRevD.59.124021
5. J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000); 10.1103/PhysRevLett.84.2318
6. J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Phys. Rev. D 65, 103509 (2002); 10.1103/PhysRevD.65.103509
7. J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Phys. Rev. D 66, 124006 (2002).10.1103/PhysRevD.66.124006
8. T. Thiemann, Classical Quantum Gravity 18, 2025 (2001); 10.1088/0264-9381/18/11/304
9. T. Thiemann and O. Winkler, Classical Quantum Gravity 18, 4629 (2001); 10.1088/0264-9381/18/21/315
10. L. Bombelli, in Proceedings of the 9th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, Rome, Italy, 2000 edited by V. G. Gurzadyan, R. T. Jantzen, and R. Ruffini (World Scientific, Singapore, 2002), p. 1273.
11. G. Amelino-Camelia, J. R. Ellis, N. E. Mavromatos, D. V. Nanopoulos, and S. Sarkar, Nature (London) 393, 763 (1998); 10.1038/31647
12. G. Amelino-Camelia, Nature (London) 398, 216 (1999); 10.1038/18377
13. D. V. Ahluwalia, Nature (London) 398, 199 (1999); 10.1038/18325
14. G. Amelino-Camelia, Lect. Notes Phys. 541, 1 (2000).
15. D. Colladay and A. Kostelecký, Phys. Rev. D 58, 116002 (1998).10.1103/PhysRevD.58.116002
16. S. D. Biller, Phys. Rev. Lett. 83, 2108 (1999); 10.1103/PhysRevLett.83.2108
17. O. Bertolami and C. S. Carvalho, Phys. Rev. D 61, 103002 (2000); 10.1103/PhysRevD.61.103002
18. C. Lämmerzhal and C. Bordé, Lect. Notes Phys. 562, 463 (2001)
19. M. P. Haugan and C. Lämmerzhal, Lect. Notes Phys. 562, 562 (2001).
20. R. J. Gleiser and C. N. Kozameh, Phys. Rev. D 64, 083007 (2001); 10.1103/PhysRevD.64.083007
21. R. Brustein, D. Eichler, and S. Foffa, Phys. Rev. D 65, 105006 (2002); 10.1103/PhysRevD.65.105006
22. T. J. Konopka and S. A. Major, New J. Phys. 4, 57 (2002); 10.1088/1367-2630/4/1/357
23. D. Sudarsky, L. Urrutia, and H. Vucetich Phys. Rev. Lett. 89, 231301 (2002); 10.1103/PhysRevLett.89.231301
24. J. Alfaro and G. Palma, Phys. Rev. D 67, 083003 (2003); 10.1103/PhysRevD.67.083003
25. T. Jacobson, S. Liberati, and D. Mattingly, Nature (London) 424, 1019 (2003); 10.1038/nature01882
26. T. Jacobson, S. Liberati, and D. Mattingly, Phys. Rev. D 67, 124011 (2003)
27. G. Lambiase and P. Singh, Phys. Lett. B 565, 27 (2003); 10.1016/S0370-2693(03)00761-5
28. F. W. Stecker, J. Phys. G 29, R47 (2003); 10.1088/0954-3899/29/10/201
29. R. C. Myers and M. Pospelov, Phys. Rev. Lett. 90, 211601 (2003); 10.1103/PhysRevLett.90.211601
30. A. Pérez and D. Sudarsky, Phys. Rev. Lett. 91, 179101 (2003); 10.1103/PhysRevLett.91.179101
31. J. Ellis, Astron. Astrophys. 402, 409 (2003); 10.1051/0004-6361:20030263
32. J. Ellis, Astropart. Phys. 20, 669 (2004); 10.1016/j.astropartphys.2003.12.001
33. J. Ellis, Nature (London), 428, 386 (2004)
34. J. Collins, A. Pérez, D. Sudarsky, L. Urrutia, and H. Vucetich, gr-qc/0403053.
35. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002); 10.1142/S0218271802001330
36. J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002); 10.1103/PhysRevLett.88.190403
37. G. Amelino-Camelia, Classical Quantum Gravity 21, 3095 (2004) 10.1088/0264-9381/21/13/002
38. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 1643 (2002); 10.1142/S021827180200302X
39. G. Amelino-Camelia, gr-qc/0402092.
40. T. Thiemann, Classical Quantum Gravity 15, 1281 (1998); 10.1088/0264-9381/15/5/012
41. T. ThiemannClassical Quantum Gravity 15, 839 (1998).10.1088/0264-9381/15/4/011
42. G. Dotti and R. J. Gleiser, Phys. Rev. D 67, 101501 (2003)
43. R. Gleiser, C. Kozameh, and F. Parisi, Classical Quantum Gravity 20, 4375 (2003); 10.1088/0264-9381/20/20/303
44. C. Kozameh and F. Parisi, Classical Quantum Gravity 21, 2617 (2004).10.1088/0264-9381/21/11/007
45. See for example E. Merzbacher, Quantum Mechanics, third edition, (John Wiley & Sons, Inc., New York, 1998), 3rd. ed.
46. See for example M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, New Jersey, 1992), Chap. 2.
47. S. Benczik, Phys. Rev. D 66, 026003 (2002)
48. L. N. Chang, Phys. Rev. D 65, 125028 (2002).
49. S. Alexandrov, Classical Quantum Gravity 17, 4255 (2000); 10.1088/0264-9381/17/20/307
50. S. Alexandrov and D. Vassilevich, Phys. Rev. D 64, 044023 (2001).10.1103/PhysRevD.64.044023