Non-Abelian sigma models from Yang–Mills theory compactified on a circle
We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is free...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-06-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318302971 |
| _version_ | 1819083751068532736 |
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| author | Tatiana A. Ivanova Olaf Lechtenfeld Alexander D. Popov |
| author_facet | Tatiana A. Ivanova Olaf Lechtenfeld Alexander D. Popov |
| author_sort | Tatiana A. Ivanova |
| collection | DOAJ |
| description | We consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group. |
| first_indexed | 2024-12-21T20:37:32Z |
| format | Article |
| id | doaj.art-00e6a79f781140cca6bbeac2cc7ff3a7 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T20:37:32Z |
| publishDate | 2018-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-00e6a79f781140cca6bbeac2cc7ff3a72022-12-21T18:51:04ZengElsevierPhysics Letters B0370-26932018-06-01781322326Non-Abelian sigma models from Yang–Mills theory compactified on a circleTatiana A. Ivanova0Olaf Lechtenfeld1Alexander D. Popov2Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow Region, RussiaInstitut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany; Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany; Corresponding author.Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, GermanyWe consider SU(N) Yang–Mills theory on R2,1×S1, where S1 is a spatial circle. In the infrared limit of a small-circle radius the Yang–Mills action reduces to the action of a sigma model on R2,1 whose target space is a 2(N−1)-dimensional torus modulo the Weyl-group action. We argue that there is freedom in the choice of the framing of the gauge bundles, which leads to more general options. In particular, we show that this low-energy limit can give rise to a target space SU(N)×SU(N)/ZN. The latter is the direct product of SU(N) and its Langlands dual SU(N)/ZN, and it contains the above-mentioned torus as its maximal Abelian subgroup. An analogous result is obtained for any non-Abelian gauge group.http://www.sciencedirect.com/science/article/pii/S0370269318302971 |
| spellingShingle | Tatiana A. Ivanova Olaf Lechtenfeld Alexander D. Popov Non-Abelian sigma models from Yang–Mills theory compactified on a circle Physics Letters B |
| title | Non-Abelian sigma models from Yang–Mills theory compactified on a circle |
| title_full | Non-Abelian sigma models from Yang–Mills theory compactified on a circle |
| title_fullStr | Non-Abelian sigma models from Yang–Mills theory compactified on a circle |
| title_full_unstemmed | Non-Abelian sigma models from Yang–Mills theory compactified on a circle |
| title_short | Non-Abelian sigma models from Yang–Mills theory compactified on a circle |
| title_sort | non abelian sigma models from yang mills theory compactified on a circle |
| url | http://www.sciencedirect.com/science/article/pii/S0370269318302971 |
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