Particle velocity in noncommutative space-time

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 66, Issue 10, 2002, Pages

  Torii, Takashi ^a   Harada, Tomohiro ^a   Miyamoto, Umpei ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; GAMMA RADIATION; GRAVITY; MATHEMATICAL ANALYSIS; QUANTUM MECHANICS; SPACE; TIME; VELOCITY;

EID: 0037113794     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.105003     Document Type: Article

References (32)

1. M.R. Douglas and C. Hull, J. High Energy Phys. 02, 8 (1998);
2. J. High Energy Phys.A. Connes, M.R. Douglas, and A. Schwarz, 02, 3 (1998).
3. M. Jimbo, Lett. Math. Phys. 10, 63 (1985).
4. W. Unruh, Phys. Rev. D 51, 2827 (1995);
5. Phys. Rev. DS. Corley and T. Jacobson, 54, 1568 (1996).
6. R.H. Brandenberger and J. Martin, Mod. Phys. Lett. A 16, 999 (2001).
7. S. Coleman and S.L. Glashow, Phys. Rev. D 59, 116008 (1999);
8. H. Sato and T. Tati, Prog. Theor. Phys. 47, 1788 (1972);
9. H. Sato, in Proceedings of the International Workshop: Space Factory on JEM/ISS (1999), astro-ph/0005218.
10. T. Tamaki, T. Harada, U. Miyamoto, and T. Torii, Phys. Rev. D 65, 083003 (2002).
11. S.D. Biller et al., Phys. Rev. Lett. 83, 2108 (1999).
12. G. Amelino-Camelia et al., Nature (London) 393, 763 (1998).
13. L.J. Garay, Phys. Rev. Lett. 80, 2508 (1998);
14. R. Gambini and J. Pullin, Phys. Rev. D 59, 124021 (1999).
15. G. Amelino-Camelia, J. Lukierski, and A. Nowicki, Int. J. Mod. Phys. A 14, 4575 (1999).
16. S. Majid and H. Ruegg, Phys. Lett. B 334, 348 (1994).
17. S. Zakrzewski, J. Phys. A 27, 2075 (1994).
18. J. Lukierski, H. Ruegg, and W.J. Zakrzewski, Ann. Phys. (N.Y.) 243, 90 (1995).
19. J. Lukierski and A. Nowicki, hep-th/0207022.
20. G. Amelino-Camelia, J. Ellis, N.E. Mavromatos, and D.V. Nanopoulos, Int. J. Mod. Phys. A 12, 607 (1997).
21. J. Lukierski, A. Nowicki, H. Ruegg, and V.N. Tolstoy, Phys. Lett. B 264, 331 (1991).
22. S. Majid, Foundation of Quantum Group Theory (Cambridge University Press, Cambridge, England, 1995).
23. R. Oeckl, J. Math. Phys. 40, 3588 (1999);
24. S. Majid and R. Oeckl, Commun. Math. Phys. 205, 617 (1999).
25. P. Kosiński, J. Lukierski, P. Maślanka, and A. Sitarz, Czech. J. Phys. 48, 1407 (1998);P. Kosiński, J. Lukierski, and P. Maślanka, in Proceedings of the XXII International Colloquium on Group-Theoretical Methods in Physics (International Press, Boston, 1999), p. 423;
26. P. KosińskiJ. LukierskiP. MaślankaPhys. Rev. D 62, 025004 (2000).
27. G. Amelino-Camelia and S. Majid, Int. J. Mod. Phys. A 15, 4301 (2000).
28. This is not a Gaussian wave packet. However, it is sufficient to obtain a group velocity. The extension for a more general wave packet will be straightforward.
29. In the MDR models and in the (Formula presented)-Minkowski space-time, it is possible that the particle moves very slowly (fast) even if the condition (Formula presented) is satisfied.
30. E. Waxman and J. Bahcall, Phys. Rev. Lett. 78, 2292 (1997).
31. D. Dubbers, Prog. Part. Nucl. Phys. 26, 173 (1991).
32. D.R. Rich et al., physics/9908050.