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Journal Articles Symmetry, Integrability and Geometry : Methods and Applications Year : 2014

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

H. Balasin
  • Function : Author
D.N. Blaschke
  • Function : Author
F. Gieres
  • Function : Author
M. Schweda
  • Function : Author

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⋆(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.

Dates and versions

in2p3-00999419 , version 1 (03-06-2014)

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H. Balasin, D.N. Blaschke, F. Gieres, M. Schweda. Wong's Equations and Charged Relativistic Particles in Non-Commutative Space. Symmetry, Integrability and Geometry : Methods and Applications, 2014, 10, pp.99. ⟨10.3842/SIGMA.2014.099⟩. ⟨in2p3-00999419⟩
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