Wong's Equations and Charged Relativistic Particles in Non-Commutative Space
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 on...
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| Дата: | 2014 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146542 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1465422019-02-10T01:25:07Z Wong's Equations and Charged Relativistic Particles in Non-Commutative Space Balasin, H. Blaschke, D.N. Gieres, F. Schweda, M. 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. 2014 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Balasin, H. Blaschke, D.N. Gieres, F. Schweda, M. |
| spellingShingle |
Balasin, H. Blaschke, D.N. Gieres, F. Schweda, M. Wong's Equations and Charged Relativistic Particles in Non-Commutative Space Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Balasin, H. Blaschke, D.N. Gieres, F. Schweda, M. |
| author_sort |
Balasin, H. |
| title |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space |
| title_short |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space |
| title_full |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space |
| title_fullStr |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space |
| title_full_unstemmed |
Wong's Equations and Charged Relativistic Particles in Non-Commutative Space |
| title_sort |
wong's equations and charged relativistic particles in non-commutative space |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146542 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:25:03Z |
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