One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory
Abstract We study the one loop renormalisation of 4d SU(N) Yang-Mills theory with M adjoint representation scalar multiplets related by O(M) symmetry. General M are of field theoretic interest, and the 4d one loop beta function of the gauge coupling g 2 vanishes for the case M = 22, which is intrigu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2023)129 |
| _version_ | 1797769748088356864 |
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| author | Nadia Flodgren Bo Sundborg |
| author_facet | Nadia Flodgren Bo Sundborg |
| author_sort | Nadia Flodgren |
| collection | DOAJ |
| description | Abstract We study the one loop renormalisation of 4d SU(N) Yang-Mills theory with M adjoint representation scalar multiplets related by O(M) symmetry. General M are of field theoretic interest, and the 4d one loop beta function of the gauge coupling g 2 vanishes for the case M = 22, which is intriguing for string theory. This case is related to D3 branes of critical bosonic string theory in D = 22 + 4 = 26. An RG fixed point could have provided a definition for a purely bosonic AdS/CFT, but we show that scalar self-couplings λ ruin one-loop conformal invariance in the large N limit. There are real fixed flows (fixed points of λ/g 2) only for M ≥ 406, rendering one-loop fixed points of the gauge coupling and scalar couplings incompatible. We develop and check an algebraic approach to the one-loop renormalisation group which we find to be characterised by a non-associative algebra of marginal couplings. In the large N limit, the resulting RG flows typically suffer from strong coupling in both the ultraviolet and the infrared. Only for M ≥ 406 fine-tuned solutions exist which are weakly coupled in the infrared. |
| first_indexed | 2024-03-12T21:12:29Z |
| format | Article |
| id | doaj.art-f6499d83092b48ce99257f86852fc355 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:29Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f6499d83092b48ce99257f86852fc3552023-07-30T11:04:38ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023412410.1007/JHEP04(2023)129One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theoryNadia Flodgren0Bo Sundborg1The Oskar Klein Centre & Department of Physics, Stockholm UniversityThe Oskar Klein Centre & Department of Physics, Stockholm UniversityAbstract We study the one loop renormalisation of 4d SU(N) Yang-Mills theory with M adjoint representation scalar multiplets related by O(M) symmetry. General M are of field theoretic interest, and the 4d one loop beta function of the gauge coupling g 2 vanishes for the case M = 22, which is intriguing for string theory. This case is related to D3 branes of critical bosonic string theory in D = 22 + 4 = 26. An RG fixed point could have provided a definition for a purely bosonic AdS/CFT, but we show that scalar self-couplings λ ruin one-loop conformal invariance in the large N limit. There are real fixed flows (fixed points of λ/g 2) only for M ≥ 406, rendering one-loop fixed points of the gauge coupling and scalar couplings incompatible. We develop and check an algebraic approach to the one-loop renormalisation group which we find to be characterised by a non-associative algebra of marginal couplings. In the large N limit, the resulting RG flows typically suffer from strong coupling in both the ultraviolet and the infrared. Only for M ≥ 406 fine-tuned solutions exist which are weakly coupled in the infrared.https://doi.org/10.1007/JHEP04(2023)1291/N ExpansionBosonic StringsD-BranesRenormalization Group |
| spellingShingle | Nadia Flodgren Bo Sundborg One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory Journal of High Energy Physics 1/N Expansion Bosonic Strings D-Branes Renormalization Group |
| title | One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory |
| title_full | One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory |
| title_fullStr | One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory |
| title_full_unstemmed | One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory |
| title_short | One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory |
| title_sort | one loop algebras and fixed flow trajectories in adjoint multi scalar gauge theory |
| topic | 1/N Expansion Bosonic Strings D-Branes Renormalization Group |
| url | https://doi.org/10.1007/JHEP04(2023)129 |
| work_keys_str_mv | AT nadiaflodgren oneloopalgebrasandfixedflowtrajectoriesinadjointmultiscalargaugetheory AT bosundborg oneloopalgebrasandfixedflowtrajectoriesinadjointmultiscalargaugetheory |