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

H. Balasin D.N. Blaschke F. Gieres 1 M. Schweda 
1 Théorie
IP2I Lyon - Institut de Physique des 2 Infinis de Lyon
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.
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Submitted on : Tuesday, June 3, 2014 - 3:27:55 PM
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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, National Academy of Science of Ukraine, 2014, 10, pp.99. ⟨10.3842/SIGMA.2014.099⟩. ⟨in2p3-00999419⟩



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