Galilean Yang-Mills theory
We investigate the symmetry structure of the non-relativistic limit of Yang-Mills theories. Generalising previous results in the Galilean limit of electrodynamics, we discover that for Yang-Mills theories there are a variety of limits inside the Galilean regime. We first explicitly work with the SU(...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/103057 |
| _version_ | 1826215339057217536 |
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| author | Bagchi, Arjun Basu, Rudranil Kakkar, Ashish Mehra, Aditya |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Bagchi, Arjun Basu, Rudranil Kakkar, Ashish Mehra, Aditya |
| author_sort | Bagchi, Arjun |
| collection | MIT |
| description | We investigate the symmetry structure of the non-relativistic limit of Yang-Mills theories. Generalising previous results in the Galilean limit of electrodynamics, we discover that for Yang-Mills theories there are a variety of limits inside the Galilean regime. We first explicitly work with the SU(2) theory and then generalise to SU(N) for all N, systematising our notation and analysis. We discover that the whole family of limits lead to different sectors of Galilean Yang-Mills theories and the equations of motion in each sector exhibit hitherto undiscovered infinite dimensional symmetries, viz. infinite Galilean Conformal symmetries in D = 4. These provide the first examples of interacting Galilean Conformal Field Theories (GCFTs) in D > 2. |
| first_indexed | 2024-09-23T16:24:29Z |
| format | Article |
| id | mit-1721.1/103057 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:24:29Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1030572022-10-02T07:56:36Z Galilean Yang-Mills theory Bagchi, Arjun Basu, Rudranil Kakkar, Ashish Mehra, Aditya Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Bagchi, Arjun We investigate the symmetry structure of the non-relativistic limit of Yang-Mills theories. Generalising previous results in the Galilean limit of electrodynamics, we discover that for Yang-Mills theories there are a variety of limits inside the Galilean regime. We first explicitly work with the SU(2) theory and then generalise to SU(N) for all N, systematising our notation and analysis. We discover that the whole family of limits lead to different sectors of Galilean Yang-Mills theories and the equations of motion in each sector exhibit hitherto undiscovered infinite dimensional symmetries, viz. infinite Galilean Conformal symmetries in D = 4. These provide the first examples of interacting Galilean Conformal Field Theories (GCFTs) in D > 2. NAMASTE India-EU Mobility Project (Fellowship) India. Dept. of Science and Technology (Inspire Faculty Award) Fulbright Association 2016-06-08T15:46:02Z 2016-06-08T15:46:02Z 2016-04 2016-01 2016-05-23T09:37:50Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/103057 Bagchi, Arjun, Rudranil Basu, Ashish Kakkar, and Aditya Mehra. "Galilean Yang-Mills theory." Journal of High Energy Physics. 2016 Apr 11;2016(4):51. en http://dx.doi.org/10.1007/JHEP04(2016)051 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Bagchi, Arjun Basu, Rudranil Kakkar, Ashish Mehra, Aditya Galilean Yang-Mills theory |
| title | Galilean Yang-Mills theory |
| title_full | Galilean Yang-Mills theory |
| title_fullStr | Galilean Yang-Mills theory |
| title_full_unstemmed | Galilean Yang-Mills theory |
| title_short | Galilean Yang-Mills theory |
| title_sort | galilean yang mills theory |
| url | http://hdl.handle.net/1721.1/103057 |
| work_keys_str_mv | AT bagchiarjun galileanyangmillstheory AT basurudranil galileanyangmillstheory AT kakkarashish galileanyangmillstheory AT mehraaditya galileanyangmillstheory |