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arXiv · 1403.0255

Wong's Equations and Charged Relativistic Particles in Non-Commutative Space

Herbert Balasin·Daniel N. Blaschke·Francois Gieres·Manfred Schweda
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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 $U_\star(1)$ 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.

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Herbert Balasin, Daniel N. Blaschke, Francois Gieres, Manfred Schweda. 2014-03-02. Wong's Equations and Charged Relativistic Particles in Non-Commutative Space. https://doi.org/10.3842/sigma.2014.099

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