English

Example of a Poincare anomaly in relativistic quantum mechanics

High Energy Physics - Theory 2009-10-28 v1

Abstract

The Poincare algebra of classical electrodynamics in one spatial dimension is studied using light-cone coordinates and ordinary Minkowski coordinates. We show that it is possible to quantize the theory by a canonical quantization procedure in a Poincare invariant manner on the light-cone. We also show that this is not possible when using ordinary coordinates. The physical reason of this anomaly is analysed.

Keywords

Cite

@article{arxiv.hep-th/9503219,
  title  = {Example of a Poincare anomaly in relativistic quantum mechanics},
  author = {Stefan Lenz and Bernd Schreiber},
  journal= {arXiv preprint arXiv:hep-th/9503219},
  year   = {2009}
}

Comments

17 pages, RevTeX, 2 figures included