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Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Інший ID:
2010 Mathematics Subject Classification: 81T13; 81T75; 70S05
DOI:10.3842/SIGMA.2014.099
DOI:10.3842/SIGMA.2014.099
Посилання:
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space / H. Balasin, D.N. Blaschke, F. Gieres, M. Schweda // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 45 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The
full collection is available at http://www.emis.de/journals/SIGMA/space-time.html.
D.B. is a recipient of an APART fellowship of the Austrian Academy of Sciences, and is also
grateful for the hospitality of the theory division of LANL and its partial financial support.
F.G. wishes to thank Fabien Vignes-Tourneret for a useful discussion on the Moyal algebra. We
wish to thank the anonymous referees as well as the editors for their pertinent and constructive
comments which contributed to the clarification of several points, as well as for pointing out
several relevant references.
Дата:
2014
Переглядів:
541
Завантажень:
248
Анотація:
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.
