Quantum gravity and Lorentz invariance violation in the standard model

Physical Review Letters

Volumn 94, Issue 22, 2005, Pages

  Alfaro, Jorge ^a,b  

^a UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

^b PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITATIONAL FIELD; LORENTZ INVARIANCE VIOLATION; QUANTUM GRAVITY;

COSMIC RAYS; INVARIANCE; MATHEMATICAL MODELS; QUANTUM THEORY;

GRAVITATION;

EID: 27744549212     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.221302     Document Type: Article

References (33)

1. G. Amelino-Camelia, Nature (London) NATUAS 0028-0836 393, 763 (1998). 10.1038/31647
2. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.124021
3. J. Alfaro, H.A. Morales-Técotl, and L.F. Urrutia, Phys. Rev. Lett. 84, 2318 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.2318
4. J. Alfaro, H.A. Morales-Técotl, and L.F. Urrutia, Phys. Rev. D 65, 103509 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.103509
5. D. Colladay and V.A. Kostelecky, Phys. Rev. D 58, 116002 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.116002
6. S. Coleman and S.L. Glashow, Phys. Rev. D 59, 116008 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.116008
7. J. Collins, Phys. Rev. Lett. 93, 191301 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.191301
8. J. Ellis, N.E. Mavromatos, D.V. Nanopoulos, and G. Volkov, Gen. Relativ. Gravit. GRGVA8 0001-7701 32, 1777 (2000). 10.1023/A:1001980530113
9. For a comprehensive review on the loop quantum gravity framework, see for example: C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, England, 2004).
10. Such a derivation must explain why the LIV parameter is so small. Progress in this direction is in. There α appears as (lP/L)2, where lP is Planck's length and L is defined by the semiclassical gravitational state in Loop quantum gravity. If L∼1011lP, an α of the right order is obtained.
11. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002); IMPDEO 0218-2718 10.1142/S0218271802001330
12. G. Amelino-Camelia Phys. Lett. B 510, 255 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00506-8
13. N. Bruno, G. Amelino-Camelia, and J. Kowalski-Glikman, Phys. Lett. B 522, 133 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)01264-3
14. G. Amelino-Camelia, Nature (London) NATUAS 0028-0836 418, 34 (2002); 10.1038/418034a
15. G. Amelino-Camelia, Int. J. Mod. Phys. D 12, 1211 (2003); IMPDEO 0218-2718 10.1142/S0218271803003645
16. J. Magueijo and L. Smolin, Phys. Rev. Lett. 88, 190403 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.190403
17. J. Magueijo and L. Smolin, Phys. Rev. D 67, 044017 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.044017
18. M. Takeda, Phys. Rev. Lett. 81, 1163 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.1163
19. For an update see M. Takeda, Astrophys. J. ASJOAB 0004-637X 522, 225 (1999); 10.1086/307646
20. T. Abu-Zayyad, Phys. Rev. Lett. 92, 151101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.151101
21. J. Alfaro and G. Palma, Phys. Rev. D 67, 083003 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.083003
22. K. Greisen, Phys. Rev. Lett. 16, 748 (1966). PRLTAO 0031-9007 10.1103/PhysRevLett.16.748
23. G.T. Zatsepin and V.A. Kuz'min, JETP Lett. 4, 78 (1966). JTPLA2 0021-3640
24. T. Kifune, Astrophys. J. Lett. AJLEEY 0004-637X 518, L21 (1999); 10.1086/312057
25. G. Amelino-Camelia and T. Piran, Phys. Lett. B 497, 265 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(00)01337-X
26. J. Ellis, N.E. Mavromatos, and D.V. Nanopoulos, Phys. Rev. D 63, 124025 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.124025
27. G. Amelino-Camelia and T. Piran, Phys. Rev. D 64, 036005 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.036005
28. G. Amelino-Camelia, Phys. Lett. B 528, 181 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)01223-6
29. See http://www.auger.org/auger.html.
30. E. Waxman and J. Bahcall, Phys. Rev. Lett. PRLTAO 0031-9007 78, 2292 (1997). 10.1103/PhysRevLett.78.2292
31. M. Roy, H.J. Crawford, and A. Trattner, astro-ph/9903231.
32. M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory (Addison-Wesley, New York, 1997).
33. S. Pokorski, Gauge Field Theories, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, England, 2000).