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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
 
Creator Balasin, H.
Blaschke, D.N.
Gieres, F.
Schweda, M.
 
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.
 
Date 2019-02-09T21:10:44Z
2019-02-09T21:10:44Z
2014
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України