Color dependence of the topological susceptibility in Yang-Mills theories
For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc) and Sp(Nc) groups, and compare lattice measurements performed by several i...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322006384 |
| _version_ | 1797987817061613568 |
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| author | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino |
| author_facet | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino |
| author_sort | Ed Bennett |
| collection | DOAJ |
| description | For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc) and Sp(Nc) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit. |
| first_indexed | 2024-04-11T07:54:13Z |
| format | Article |
| id | doaj.art-dc5c76d2a71841d598e94723707a7204 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-11T07:54:13Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-dc5c76d2a71841d598e94723707a72042022-12-22T04:36:00ZengElsevierPhysics Letters B0370-26932022-12-01835137504Color dependence of the topological susceptibility in Yang-Mills theoriesEd Bennett0Deog Ki Hong1Jong-Wan Lee2C.-J. David Lin3Biagio Lucini4Maurizio Piai5Davide Vadacchino6Swansea Academy of Advanced Computing, Swansea University, Fabian Way, SA1 8EN, Swansea, Wales, UKDepartment of Physics, Pusan National University, Busan 46241, Republic of Korea; Corresponding author.Department of Physics, Pusan National University, Busan 46241, Republic of Korea; Institute for Extreme Physics, Pusan National University, Busan 46241, Republic of KoreaInstitute of Physics, National Yang Ming Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan; Center for High Energy Physics, Chung-Yuan Christian University, Chung-Li 32023, Taiwan; Centre for Theoretical and Computational Physics, National Yang Ming Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan; Physics Division, National Centre for Theoretical Sciences, Taipei 10617, TaiwanDepartment of Mathematics, Faculty of Science and Engineering, Swansea University, Fabian Way, SA1 8EN Swansea, Wales, UK; Swansea Academy of Advanced Computing, Swansea University, Fabian Way, SA1 8EN, Swansea, Wales, UKDepartment of Physics, Faculty of Science and Engineering, Swansea University, Singleton Park, SA2 8PP, Swansea, Wales, UKSchool of Mathematics and Hamilton Mathematics Institute, Trinity College, Dublin 2, Ireland; Centre for Mathematical Sciences, University of Plymouth, Plymouth, PL4 8AA, UKFor Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc) and Sp(Nc) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit.http://www.sciencedirect.com/science/article/pii/S0370269322006384 |
| spellingShingle | Ed Bennett Deog Ki Hong Jong-Wan Lee C.-J. David Lin Biagio Lucini Maurizio Piai Davide Vadacchino Color dependence of the topological susceptibility in Yang-Mills theories Physics Letters B |
| title | Color dependence of the topological susceptibility in Yang-Mills theories |
| title_full | Color dependence of the topological susceptibility in Yang-Mills theories |
| title_fullStr | Color dependence of the topological susceptibility in Yang-Mills theories |
| title_full_unstemmed | Color dependence of the topological susceptibility in Yang-Mills theories |
| title_short | Color dependence of the topological susceptibility in Yang-Mills theories |
| title_sort | color dependence of the topological susceptibility in yang mills theories |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322006384 |
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