Canonical coordinates for Yang-Mills-Chern-Simons theory
Abstract We consider the classical field theory of 2+1-dimensional Yang-Mills-Chern-Simons theory on an arbitrary spatial manifold. We first define a gauge covariant transverse electric field strength, which together with the gauge covariant scalar magnetic field strength can be taken as coordinates...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)138 |
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| author | Måns Henningson |
| author_facet | Måns Henningson |
| author_sort | Måns Henningson |
| collection | DOAJ |
| description | Abstract We consider the classical field theory of 2+1-dimensional Yang-Mills-Chern-Simons theory on an arbitrary spatial manifold. We first define a gauge covariant transverse electric field strength, which together with the gauge covariant scalar magnetic field strength can be taken as coordinates on the classical phase space. We then determine the Poisson-Dirac bracket and find that these coordinates are canonically conjugate to each other. The Hamiltonian is non-polynomial when expressed in terms of these coordinates, but can be expanded in a power series in the coupling constant with polynomial coefficients. |
| format | Article |
| id | doaj-art-7e553df0516241a7ae00dee6e5a37f4b |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-7e553df0516241a7ae00dee6e5a37f4b2025-08-20T02:31:04ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241011310.1007/JHEP10(2024)138Canonical coordinates for Yang-Mills-Chern-Simons theoryMåns Henningson0Department of Physics, University of GothenburgAbstract We consider the classical field theory of 2+1-dimensional Yang-Mills-Chern-Simons theory on an arbitrary spatial manifold. We first define a gauge covariant transverse electric field strength, which together with the gauge covariant scalar magnetic field strength can be taken as coordinates on the classical phase space. We then determine the Poisson-Dirac bracket and find that these coordinates are canonically conjugate to each other. The Hamiltonian is non-polynomial when expressed in terms of these coordinates, but can be expanded in a power series in the coupling constant with polynomial coefficients.https://doi.org/10.1007/JHEP10(2024)138Field Theories in Lower DimensionsChern-Simons Theories |
| spellingShingle | Måns Henningson Canonical coordinates for Yang-Mills-Chern-Simons theory Journal of High Energy Physics Field Theories in Lower Dimensions Chern-Simons Theories |
| title | Canonical coordinates for Yang-Mills-Chern-Simons theory |
| title_full | Canonical coordinates for Yang-Mills-Chern-Simons theory |
| title_fullStr | Canonical coordinates for Yang-Mills-Chern-Simons theory |
| title_full_unstemmed | Canonical coordinates for Yang-Mills-Chern-Simons theory |
| title_short | Canonical coordinates for Yang-Mills-Chern-Simons theory |
| title_sort | canonical coordinates for yang mills chern simons theory |
| topic | Field Theories in Lower Dimensions Chern-Simons Theories |
| url | https://doi.org/10.1007/JHEP10(2024)138 |
| work_keys_str_mv | AT manshenningson canonicalcoordinatesforyangmillschernsimonstheory |