Velocity of particles in Doubly Special Relativity

被引:36
作者
Daszkiewicz, M [1 ]
Imilkowska, K [1 ]
Kowalski-Glikman, J [1 ]
机构
[1] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland
关键词
D O I
10.1016/j.physleta.2004.02.046
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Doubly Special Relativity (DSR) is a class of theories of relativistic motion with two observer-independent scales. We investigate the velocity of particles in DSR, defining velocity as the Poisson bracket of position with the appropriate Hamiltonian, taking care of the non-trivial structure of the DSR phase space. We find the general expression for four-velocity, and we show further that the three-velocity of massless particles equals 1 for all DSR theories. The relation between the boost parameter and velocity is also clarified. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:345 / 350
页数:6
相关论文
共 30 条
[1]   Quantum-gravity phenomenology: Status and prospects [J].
Amelino-Camelia, G .
MODERN PHYSICS LETTERS A, 2002, 17 (15-17) :899-922
[2]   Doubly-special relativity: First results and key open problems [J].
Amelino-Camelia, G .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (10) :1643-1669
[3]   Testable scenario for relativity with minimum length [J].
Amelino-Camelia, G .
PHYSICS LETTERS B, 2001, 510 (1-4) :255-263
[4]   Waves on noncommutative space-time and gamma-ray bursts [J].
Amelino-Camelia, G ;
Majid, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2000, 15 (27) :4301-4323
[5]  
AMELINOCAMELIA G, HEPTH0211022
[6]   Deformed boost transformations that saturate at the Planck scale [J].
Bruno, NR ;
Amelino-Camelia, G ;
Kowalski-Glikman, J .
PHYSICS LETTERS B, 2001, 522 (1-2) :133-138
[7]   Lorentz-violating extension of the standard model [J].
Colladay, D ;
Kostelecky, VA .
PHYSICAL REVIEW D, 1998, 58 (11)
[8]  
CZERHONIAK P, HEPTH0302036
[9]   RELATIVISTIC AND NEWTONIAN KAPPA-SPACE-TIMES [J].
DEAZCARRAGA, JA ;
BUENO, JCP .
JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (12) :6879-6896
[10]   Nonstandard optics from quantum space-time [J].
Gambini, R ;
Pullin, S .
PHYSICAL REVIEW D, 1999, 59 (12)