Please use this identifier to cite or link to this item:
|Title:||General very special relativity is Finsler geometry|
Gomis Torné, Joaquim
Pope, C. N.
|Keywords:||Relativitat especial (Física)|
Special relativity (Physics)
|Publisher:||The American Physical Society|
|Abstract:||We ask whether Cohen and Glashow’s very special relativity model for Lorentz violation might be modified, perhaps by quantum corrections, possibly producing a curved space-time with a cosmological constant. We show that its symmetry group ISIM(2) does admit a 2-parameter family of continuous deformations, but none of these give rise to noncommutative translations analogous to those of the de Sitter deformation of the Poincaré group: space-time remains flat. Only a 1-parameter family DISIM b ( 2 ) of deformations of SIM(2) is physically acceptable. Since this could arise through quantum corrections, its implications for tests of Lorentz violations via the Cohen-Glashow proposal should be taken into account. The Lorentz-violating point-particle action invariant under DISIM b ( 2 ) is of Finsler type, for which the line element is homogeneous of degree 1 in displacements, but anisotropic. We derive DISIM b ( 2 ) -invariant wave equations for particles of spins 0, 1 2 , and 1. The experimental bound, | b | < 10 − 26 , raises the question “Why is the dimensionless constant b so small in very special relativity?”|
|Note:||Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.76.081701|
|It is part of:||Physical Review D, 2007, vol. 76, núm. 8, p. 081701-1-081701-5|
|Appears in Collections:||Articles publicats en revistes (Física Quàntica i Astrofísica)|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.