Rainbow statistics

International Journal of Modern Physics A

Volumn 24, Issue 25-26, 2009, Pages 4623-4641

  Arzano, Michele ^a   Benedetti, Dario ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

Deformed symmetries; Quantum field theory; Twisted statistics

Indexed keywords

EID: 70350549846     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0217751x09045881     Document Type: Article

References (46)

1. A. Ashtekar and A. Magnon, Proc. R. Soc. London, Ser. A 346, 375 (1975).
2. S. Doplicher, K. Fredenhagen and J. E. Roberts, Phys. Lett. B 331, 39 (1994).
3. S. Doplicher, K. Fredenhagen and J. E. Roberts, Commun. Math. Phys. 172, 187 (1995), arXiv:hep-th/0303037.
4. M. Chaichian, P. P. Kulish, K. Nishijima and A. Tureanu, Phys. Lett. B 604, 98 (2004), arXiv:hep-th/0408069.
5. M. Chaichian, P. Presnajder and A. Tureanu, Phys. Rev. Lett. 94, 151602 (2005), arXiv:hep-th/0409096.
6. S. Majid and H. Ruegg, Phys. Lett. B 334, 348 (1994), arXiv:hep-th/9405107.
7. M. Arzano, Phys. Rev. D 77, 025013 (2008), arXiv:0710.1083.
8. D. A. Lowe, J. Polchinski, L. Susskind, L. Thorlacius and J. Uglum, Phys. Rev. D 52, 6997 (1995), arXiv:hep-th/9506138.
9. S. B. Giddings, Phys. Rev. D 74, 106005 (2006), arXiv:hep-th/0605196.
10. E. Akofor, A. P. Balachandran, S. G. Jo and A. Joseph, J. High Energy Phys. 0708, 045 (2007), arXiv:0706.1259.
11. G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002), arXiv:gr-qc/0012051.
12. G. Amelino-Camelia, Phys. Lett. B 510, 255 (2001), arXiv:hep-th/0012238.
13. J. Magueijo and L. Smolin, Phys. Rev. D 67, 044017 (2003), arXiv:gr-qc/0207085.
14. J. Kowalski-Glikman and S. Nowak, Phys. Lett. B 539, 126 (2002), arXiv:hep- th/0203040.
15. L. Smolin, Could deformed special relativity naturally arise from the semiclassical limit of quantum gravity?, arXiv:0808.3765.
16. G. Amelino-Camelia and M. Arzano, Phys. Rev. D 65, 084044 (2002), arXiv:hep- th/0105120.
17. A. Agostini, G. Amelino-Camelia, M. Arzano, A. Marciano and R. A. Tacchi, Mod. Phys. Lett. A 22, 1779 (2007), arXiv:hep-th/0607221.
18. L. Freidel, J. Kowalski-Glikman and S. Nowak, Field theory on -Minkowski space revisited:Noether charges and breaking of Lorentz symmetry, arXiv:0706.3658.
19. M. Arzano and A. Marciano, Phys. Rev. D 76, 125005 (2007), arXiv:0707.1329.
20. A. P. Balachandran, G. Marmo, B. S. Skagerstam and A. Stern, Classical Topology and Quantum States (World Scientific, Singapore, 1991).
21. S. Surya, J. Math. Phys. 45, 2515 (2004), arXiv:hep-th/0308011.
22. Y. S. Wu, Phys. Rev. Lett. 52, 2103 (1984).
23. W. Fulton and J. Harris, Representation Theory, A First Course (Springer-Verlag, New York, 1991).
24. H. S. Green, Phys. Rev. 90, 270 (1953).
25. R. Oeckl, Discrete Gauge Theory:From Lattices to TQFT (Imperial College Press, London, UK, 2005).
26. V. Chari and A. Pressley, A Guide to Quantum Groups (Cambridge University Press, 1994).
27. S. Majid, Foundations of Quantum Group Theory (Cambridge University Press, 1995).
28. R. Oeckl, Nucl. Phys. B 581, 559 (2000), arXiv:hep-th/0003018.
29. P. Watts, Phys. Lett. B 474, 295 (2000), arXiv:hep-th/9911026.
30. J. Lukierski, A. Nowicki and H. Ruegg, Phys. Lett. B 293, 344 (1992).
31. H. Ruegg and V. N. Tolstoi, Lett. Math. Phys. 32, 85 (1994), arXiv:hep-th/9406146.
32. M. Arzano and A. Marciano, Phys. Rev. D 75, 081701 (2007), arXiv:hep-th/0701268.
33. M. Arzano, A. Hamma and S. Severini, Hidden entanglement at the Planck scale:Loss of unitarity and the information paradox, arXiv:0806.2145.
34. J. G. Bu, H. C. Kim, Y. Lee, C. H. Vac and J. H. Yee, Phys. Lett. B 665, 95 (2008), arXiv:hep-th/0611175.
35. H. C. Kim, Y. Lee, C. Rim and J. H. Yee, Di erential structure on the -Minkowski space{time from twist, arXiv:0808.2866.
36. M. Daszkiewicz, J. Lukierski and M. Woronowicz, Phys. Rev. D 77, 105007 (2008), arXiv:0708.1561.
37. M. Daszkiewicz, J. Lukierski and M. Woronowicz, -deformed oscillators, the choice of star product and free kappa-deformed quantum elds, arXiv:0807.1992.
38. T. R. Govindarajan, K. S. Gupta, E. Harikumar, S. Meljanac and D. Meljanac, Phys. Rev. D 77, 105010 (2008), arXiv:0802.1576.
39. J. Lukierski and A. Nowicki, Heisenberg double description of -Poincar-e algebra and -deformed phase space, arXiv:q-alg/9702003.
40. J. Van der Jeug, J. Phys. A 26, L405 (1993).
41. A. Agostini, G. Amelino-Camelia and F. D'Andrea, Int. J. Mod. Phys. A 19, 5187 (2004), arXiv:hep-th/0306013.
42. S. Zakrzewski, J. Phys. A 27, 2075 (1994).
43. J. Lukierski and H. Ruegg, Phys. Lett. B 329, 189 (1994), arXiv:hep-th/9310117.
44. C. A. S. Young and R. Zegers, Nucl. Phys. B 797, 537 (2008), arXiv:0711.2206.
45. C. A. S. Young and R. Zegers, Covariant particle exchange for -deformed theories in 1 + 1 dimensions, arXiv:0803.2659.
46. C. A. S. Young and R. Zegers, On -deformation and triangular quasibialgebra struc- ture, arXiv:0807.2745.