Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory
Abstract We propose a possible modification to the tensionless string model with contact interactions. The proposed model aims to reproduce the expectation value of a non-Abelian Wilson loop in Yang–Mills theory by integrating out string degrees of freedom with a fixed worldsheet boundary. To reprod...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11563-2 |
| _version_ | 1797789643321638912 |
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| author | Pongwit Srisangyingcharoen |
| author_facet | Pongwit Srisangyingcharoen |
| author_sort | Pongwit Srisangyingcharoen |
| collection | DOAJ |
| description | Abstract We propose a possible modification to the tensionless string model with contact interactions. The proposed model aims to reproduce the expectation value of a non-Abelian Wilson loop in Yang–Mills theory by integrating out string degrees of freedom with a fixed worldsheet boundary. To reproduce path-ordering along the worldsheet boundary, we introduce Lie algebra-valued fields on the string worldsheet, whose dynamics are determined by the topological BF action. Without bulk contributions, we show that the model describes the non-Abelian Wilson loop, neglecting the effects of self-interactions. Finally, we test the reproduction of the Wilson loop with three-point interaction in the case of SU(2). |
| first_indexed | 2024-03-13T01:52:36Z |
| format | Article |
| id | doaj.art-87540c5bdeb4419fbc1c22da7a44ec35 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-13T01:52:36Z |
| publishDate | 2023-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-87540c5bdeb4419fbc1c22da7a44ec352023-07-02T11:24:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-05-0183511810.1140/epjc/s10052-023-11563-2Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theoryPongwit Srisangyingcharoen0The Institute for Fundamental Study, Naresuan UniversityAbstract We propose a possible modification to the tensionless string model with contact interactions. The proposed model aims to reproduce the expectation value of a non-Abelian Wilson loop in Yang–Mills theory by integrating out string degrees of freedom with a fixed worldsheet boundary. To reproduce path-ordering along the worldsheet boundary, we introduce Lie algebra-valued fields on the string worldsheet, whose dynamics are determined by the topological BF action. Without bulk contributions, we show that the model describes the non-Abelian Wilson loop, neglecting the effects of self-interactions. Finally, we test the reproduction of the Wilson loop with three-point interaction in the case of SU(2).https://doi.org/10.1140/epjc/s10052-023-11563-2 |
| spellingShingle | Pongwit Srisangyingcharoen Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory European Physical Journal C: Particles and Fields |
| title | Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory |
| title_full | Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory |
| title_fullStr | Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory |
| title_full_unstemmed | Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory |
| title_short | Steps towards generalization of tensionless string theory with contact interactions as Wilson loop of non-Abelian Yang–Mills theory |
| title_sort | steps towards generalization of tensionless string theory with contact interactions as wilson loop of non abelian yang mills theory |
| url | https://doi.org/10.1140/epjc/s10052-023-11563-2 |
| work_keys_str_mv | AT pongwitsrisangyingcharoen stepstowardsgeneralizationoftensionlessstringtheorywithcontactinteractionsaswilsonloopofnonabelianyangmillstheory |