Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929588194508800 |
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| author | Fujii, Daisuke Iwanaka, Akihiro Kitazawa, Masakiyo Suenaga, Daiki |
| author_facet | Fujii, Daisuke Iwanaka, Akihiro Kitazawa, Masakiyo Suenaga, Daiki |
| contents | We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified directions as dynamical variables, and is constructed to reproduce thermodynamics on $\mathbb{T}^2\times\mathbb{R}^2$ measured on the lattice. The model analysis indicates the existence of a novel first-order phase transition on $\mathbb{T}^2\times\mathbb{R}^2$ in the deconfined phase, which terminates at critical points that should belong to the two-dimensional $Z_2$ universality class. We argue that the interplay of the Polyakov loops induced by their cross term in the Polyakov-loop potential is responsible for the manifestation of the first-order transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07899 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification Fujii, Daisuke Iwanaka, Akihiro Kitazawa, Masakiyo Suenaga, Daiki High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified directions as dynamical variables, and is constructed to reproduce thermodynamics on $\mathbb{T}^2\times\mathbb{R}^2$ measured on the lattice. The model analysis indicates the existence of a novel first-order phase transition on $\mathbb{T}^2\times\mathbb{R}^2$ in the deconfined phase, which terminates at critical points that should belong to the two-dimensional $Z_2$ universality class. We argue that the interplay of the Polyakov loops induced by their cross term in the Polyakov-loop potential is responsible for the manifestation of the first-order transition. |
| title | Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.07899 |