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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 2100-014X |