Free particle in deformed special relativity

Florian Girelli, Tomasz Konopka, Jerzy Kowalski-Glikman, and Etera R. Livine
Phys. Rev. D 73, 045009 – Published 9 February 2006

Abstract

The phase space of a classical particle in deformed special relativity (DSR) contains de Sitter space as the space of momenta. We start from the standard relativistic particle in five dimensions with an extra constraint and reduce it to four-dimensional DSR by imposing appropriate gauge fixing. We analyze some physical properties of the resulting theories like the equations of motion, the form of Lorentz transformations, and the issue of velocity. We also address the problem of the origin and interpretation of different bases in DSR.

  • Received 12 December 2005

DOI:https://doi.org/10.1103/PhysRevD.73.045009

©2006 American Physical Society

Authors & Affiliations

Florian Girelli1,*, Tomasz Konopka1,2,†, Jerzy Kowalski-Glikman3,‡, and Etera R. Livine1,4,§

  • 1Perimeter Institute, 31 Caroline Street North Waterloo, Ontario, N2L 2Y5, Canada
  • 2University of Waterloo, 200 University Avenue West, Waterloo, Ontario, N2L 3G1, Canada
  • 3Institute for Theoretical Physics, University of Wrocław, Pl. Maxa Borna 9, Pl–50-204 Wrocław, Poland
  • 4Laboratoire de Physique, ENS Lyon, CNRS UMR 5672, 46 Allée d’Italie, 69364 Lyon Cedex 07, France

  • *Electronic address: fgirelli@perimeterinstitute.ca
  • Electronic address: tkonopka@perimeterinstitute.ca
  • Electronic address: jurekk@ift.uni.wroc.pl
  • §Electronic address: elivine@perimeterinstitute.ca

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 73, Iss. 4 — 15 February 2006

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×