Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
High Energy Physics - Theory
2014-10-28 v4 Mathematical Physics
math.MP
Quantum Physics
Abstract
In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to an external gauge field. We conclude that the latter equations are only consistent in the case of a constant field strength. This formulation, which is based on an action written in Moyal space, provides a coarser level of description than full QED on non-commutative space. The results are compared with those obtained from the different Hamiltonian approaches. Furthermore, a continuum version for Wong's equations and for the motion of a particle in non-commutative space is derived.
Keywords
Cite
@article{arxiv.1403.0255,
title = {Wong's Equations and Charged Relativistic Particles in Non-Commutative Space},
author = {Herbert Balasin and Daniel N. Blaschke and Francois Gieres and Manfred Schweda},
journal= {arXiv preprint arXiv:1403.0255},
year = {2014}
}