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Approaches to Quantum Gravity

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544 J. Collins, A. Perez and D. SudarskyReferences[1] T. Abu-Zayyad et al. [High Resolution Fly’s Eye Collaboration], Measurement ofthe spectrum of UHE cosmic rays by the FADC detec<strong>to</strong>r of the HiRes experiment,Astropart. Phys. 23 (2005) 157, [arXiv:astro-ph/0208301].[2] J. Alfaro, H. A. Morales-Técotl & L. F. Urrutia, <strong>Quantum</strong> gravity corrections <strong>to</strong>neutrino propagation, Phys. Rev. Lett. 84 (2000) 2318, [arXiv:gr-qc/9909079].[3] H. A. Morales-Técotl & L.F. Urrutia, Loop quantum gravity and light propagation,Phys. Rev. D65(2002) 103509.[4] J. Alfaro, <strong>Quantum</strong> <strong>Gravity</strong> and Lorentz invariance deformation in the standardmodel, Phys. Rev. Lett. 94 (2005) 221302, [arXiv: hep-th/0412295].[5] J. Alfaro, <strong>Quantum</strong> <strong>Gravity</strong> induced Lorentz invariance violation in the standardmodel: hadrons, Phys. Rev. D72(2005) 024027, [arXiv: hep-th/0505228].[6] G. Amelino-Camelia, Relativity in space-times with short distance structuregoverned by an observer-independent (Planckian) length scale, Int. J. Mod. Phys.D11(2002) 35.[7] G. Amelino-Camelia, J. R. Ellis, N. E. Mavroma<strong>to</strong>s, D. V. Nanopoulos & S. Sarkar,Potential sensitivity of gamma-ray burster observations <strong>to</strong> wave dispersion in vacuo,Nature 393 (1998) 763, [arXiv:astro-ph/9712103].[8] T. Appelquist & J. Carazzone, Phys. Rev. D11(1975) 2856.[9] P. Aschieri, C. Blohmann, M. Dimitrijević, F. Mayer, P. Schupp & J. Wess, A gravitytheory in noncommutative spaces, Class. Quant. Grav. 22 (2005) 3511, [arXiv:hep-th/0504183].[10] J. Bahcall & E. Waxman, Has the GZK CUTOFF been discovered?, Phys. Lett. B556 (2003) 1.[11] D. Bear et al., Phys. Rev. Lett. 85 (2000) 5038.[12] D. R. Bergman, Chasing the GZK cu<strong>to</strong>ff with HIRES, Mod. Phys. Lett. A18(2003) 1235.[13] D.J. Bird et al., Detection of a cosmic ray with measured energy well beyond theexpected spectral cu<strong>to</strong>ff due <strong>to</strong> cosmic microwave radiation, Astrophys. J. 441(1995) 144.[14] P. A. Bolokov, S. G. Nibbelink & M. Pospelov, Lorentz violating supersymmetricquantum electrodynamics, Phys. Rev. D72(2005) 015013.[15] M. Chaichian, P. P. Kulish, K. Nishijima & A. Tureanu, On Lorentz invariantinterpretation of non-commutative space-time and its implications onnon-commutative QFT, Phys. Lett. B 604 (2004) 98, [arXiv: hep-th/0408069].[16] C. Chryssomalakos & E. Okon, Generalized quantum relativistic kinematics: astability point, Int. J. Mod. Phys. D13(2004) 2003, [arXiv: hep-th/0410212].[17] C. Chryssomalakos & E. Okon, Linear form of 3-scale special relativity algebra andthe relevance of the stability, Int. J. Mod. Phys. D13(2004) 1817, [arXiv:hep-th/0407080].[18] T. E. Chupp et al., Phys. Rev. Lett. 63 (1989) 1541.[19] S. R. Coleman & S. L. Glashow, Phys. Rev. D59(1999) 116008,[arXiv:hep-ph/9812418].[20] D. Colladay & V. A. Kostelecký, Lorentz violating extension of the standard model,Phys. Rev. D58(1998) 116002.[21] J. C. Collins, Renormalization (Cambridge University Press, 1984).[22] J. Collins, A. Perez, D. Sudarsky, L. Urrutia & H. Vucetich, Lorentz invariance inquantum gravity: a new fine tuning problem?, Phys. Rev. Lett. 93 (2004)191301.

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