Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2
We present an effective model of SU(N) pure Yang-Mills theory on 𝕋2 × ℝ2, where two directions are compactified with periodic boundary conditions. Our model includes two Polyakov loops serving as the order parameters of two center symmetries. Based on the model, for N = 2 and N = 3 we show that a ri...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_02014.pdf |
| _version_ | 1797951183124430848 |
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| author | Suenaga Daiki Kitazawa Masakiyo |
| author_facet | Suenaga Daiki Kitazawa Masakiyo |
| author_sort | Suenaga Daiki |
| collection | DOAJ |
| description | We present an effective model of SU(N) pure Yang-Mills theory on 𝕋2 × ℝ2, where two directions are compactified with periodic boundary conditions. Our model includes two Polyakov loops serving as the order parameters of two center symmetries. Based on the model, for N = 2 and N = 3 we show that a rich phase diagram in terms of the center symmetries on 𝕋2 × ℝ2 is obtained. Besides, we demonstrate roles of the Polyakov loops by comparing with the recent lattice results focusing on thermodynamic quantities on 𝕋2 × ℝ2. We expect that analysis on 𝕋2 × ℝ2 provides us with a new clue toward further understanding of pure YM theory with the Polyakov loop at finite temperature. |
| first_indexed | 2024-04-10T22:26:36Z |
| format | Article |
| id | doaj.art-b949ee9ab8514ceca561d2ae40bab9e1 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-10T22:26:36Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-b949ee9ab8514ceca561d2ae40bab9e12023-01-17T09:14:26ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012740201410.1051/epjconf/202227402014epjconf_confxv2022_02014Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2Suenaga Daiki0Kitazawa Masakiyo1Strangeness Nuclear Physics Laboratory, RIKEN Nishina CenterYukawa Institute for Theoretical Physics, Kyoto UniversityWe present an effective model of SU(N) pure Yang-Mills theory on 𝕋2 × ℝ2, where two directions are compactified with periodic boundary conditions. Our model includes two Polyakov loops serving as the order parameters of two center symmetries. Based on the model, for N = 2 and N = 3 we show that a rich phase diagram in terms of the center symmetries on 𝕋2 × ℝ2 is obtained. Besides, we demonstrate roles of the Polyakov loops by comparing with the recent lattice results focusing on thermodynamic quantities on 𝕋2 × ℝ2. We expect that analysis on 𝕋2 × ℝ2 provides us with a new clue toward further understanding of pure YM theory with the Polyakov loop at finite temperature.https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_02014.pdf |
| spellingShingle | Suenaga Daiki Kitazawa Masakiyo Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 EPJ Web of Conferences |
| title | Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 |
| title_full | Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 |
| title_fullStr | Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 |
| title_full_unstemmed | Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 |
| title_short | Roles of Polyakov loops in Yang-Mills theory on 𝕋2 × ℝ2 |
| title_sort | roles of polyakov loops in yang mills theory on 𝕋2 r2 |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2022/18/epjconf_confxv2022_02014.pdf |
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