English

Very special relativity as particle in a gauge field and two-time physics

High Energy Physics - Theory 2013-01-25 v2

Abstract

The action for a (3+1)(3+1)-dimensional particle in very special relativity is studied. It is proved that massless particles only travel in effective (2+1)(2+1)-dimensional space-time. It is remarkable that this action can be written as an action for a relativistic particle in a background gauge field and it is shown that this field causes the dimensional reduction. A new symmetry for this system is found. Furthermore, a general action with restored Lorentz symmetry is proposed for this system. It is shown that this new action contains very special relativity and two-time physics.

Keywords

Cite

@article{arxiv.1203.2642,
  title  = {Very special relativity as particle in a gauge field and two-time physics},
  author = {Juan M. Romero and Eric Escobar and Etelberto Vazquez},
  journal= {arXiv preprint arXiv:1203.2642},
  year   = {2013}
}

Comments

12 pages; non figures; new material; references added; accepted for publication in Modern Physics Letters A