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

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arxiv 1403.0255 v4 pith:N4IQIDYF submitted 2014-03-02 hep-th math-phmath.MPquant-ph

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

Herbert Balasin , Daniel N. Blaschke , Francois Gieres , Manfred Schweda This is my paper
classification hep-th math-phmath.MPquant-ph
keywords spaceequationsnon-commutativefieldmotionparticlewongcharged
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Covariant equations of motion of massive spinning particles in a background Yang-Mills field

    nucl-th 2025-11 conditional novelty 6.0

    A spinning quark in a background Yang-Mills field obeys a new, constraint-preserving, gauge-invariant set of classical equations of motion that reduce to the Wong equations when spin effects are turned off.