Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
Vernadsky National Library of Ukraine
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Title |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
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Creator |
Balasin, H.
Blaschke, D.N. Gieres, F. Schweda, M. |
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Description |
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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Date |
2019-02-09T21:10:44Z
2019-02-09T21:10:44Z 2014 |
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Type |
Article
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Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 81T13; 81T75; 70S05 DOI:10.3842/SIGMA.2014.099 http://dspace.nbuv.gov.ua/handle/123456789/146542 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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