3D Yang-Mills confining properties from a non-Abelian ensemble perspective
Abstract In this work, we propose a 3D ensemble measure for center-vortex worldlines and chains equipped with non-Abelian degrees of freedom. We derive an effective field description for the center-element average where the vortices get represented by N flavors of effective Higgs fields transforming...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)180 |
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| author | D. R. Junior L. E. Oxman G. M. Simões |
| author_facet | D. R. Junior L. E. Oxman G. M. Simões |
| author_sort | D. R. Junior |
| collection | DOAJ |
| description | Abstract In this work, we propose a 3D ensemble measure for center-vortex worldlines and chains equipped with non-Abelian degrees of freedom. We derive an effective field description for the center-element average where the vortices get represented by N flavors of effective Higgs fields transforming in the fundamental representation. This field content is required to accommodate fusion rules where N vortices can be created out of the vacuum. The inclusion of the chain sector, formed by center-vortex worldlines attached to pointlike defects, leads to a discrete set of Z(N) vacua. This type of SSB pattern supports the formation of a stable domain wall between quarks, thus accommodating not only a linear potential but also the Luscher term. Moreover, after a detailed analysis of the associated field equations, the asymptotic string tension turns out to scale with the quadratic Casimir of the antisymmetric quark representation. These behaviors reproduce those derived from Monte Carlo simulations in SU(N) 3D Yang-Mills theory, which lacked understanding in the framework of confinement as due to percolating magnetic defects. |
| format | Article |
| id | doaj-art-210c37802c35470789b76146f0a6f952 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-210c37802c35470789b76146f0a6f9522025-02-09T12:06:29ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112310.1007/JHEP01(2020)1803D Yang-Mills confining properties from a non-Abelian ensemble perspectiveD. R. Junior0L. E. Oxman1G. M. Simões2Instituto de Física, Universidade Federal FluminenseInstituto de Física, Universidade Federal FluminenseInstituto de Física, Universidade Federal FluminenseAbstract In this work, we propose a 3D ensemble measure for center-vortex worldlines and chains equipped with non-Abelian degrees of freedom. We derive an effective field description for the center-element average where the vortices get represented by N flavors of effective Higgs fields transforming in the fundamental representation. This field content is required to accommodate fusion rules where N vortices can be created out of the vacuum. The inclusion of the chain sector, formed by center-vortex worldlines attached to pointlike defects, leads to a discrete set of Z(N) vacua. This type of SSB pattern supports the formation of a stable domain wall between quarks, thus accommodating not only a linear potential but also the Luscher term. Moreover, after a detailed analysis of the associated field equations, the asymptotic string tension turns out to scale with the quadratic Casimir of the antisymmetric quark representation. These behaviors reproduce those derived from Monte Carlo simulations in SU(N) 3D Yang-Mills theory, which lacked understanding in the framework of confinement as due to percolating magnetic defects.https://doi.org/10.1007/JHEP01(2020)180ConfinementEffective Field TheoriesSolitons Monopoles and Instantons |
| spellingShingle | D. R. Junior L. E. Oxman G. M. Simões 3D Yang-Mills confining properties from a non-Abelian ensemble perspective Journal of High Energy Physics Confinement Effective Field Theories Solitons Monopoles and Instantons |
| title | 3D Yang-Mills confining properties from a non-Abelian ensemble perspective |
| title_full | 3D Yang-Mills confining properties from a non-Abelian ensemble perspective |
| title_fullStr | 3D Yang-Mills confining properties from a non-Abelian ensemble perspective |
| title_full_unstemmed | 3D Yang-Mills confining properties from a non-Abelian ensemble perspective |
| title_short | 3D Yang-Mills confining properties from a non-Abelian ensemble perspective |
| title_sort | 3d yang mills confining properties from a non abelian ensemble perspective |
| topic | Confinement Effective Field Theories Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP01(2020)180 |
| work_keys_str_mv | AT drjunior 3dyangmillsconfiningpropertiesfromanonabelianensembleperspective AT leoxman 3dyangmillsconfiningpropertiesfromanonabelianensembleperspective AT gmsimoes 3dyangmillsconfiningpropertiesfromanonabelianensembleperspective |