English

Gauge invariance and classical dynamics of noncommutative particle theory

Mathematical Physics 2010-02-17 v1 High Energy Physics - Theory math.MP

Abstract

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed, in particular, the motion in the constant magnetic field is studied in detail.

Keywords

Cite

@article{arxiv.0910.1341,
  title  = {Gauge invariance and classical dynamics of noncommutative particle theory},
  author = {D. M. Gitman and V. G. Kupriyanov},
  journal= {arXiv preprint arXiv:0910.1341},
  year   = {2010}
}

Comments

10 pages