Deconfinement-Higgs continuity in ${\rm SU(2)}$ adjoint Higgs model at finite temperature
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918162542362624 |
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| author | Hayashi, Yui Kawahira, Masashi Watanabe, Hiromasa |
| author_facet | Hayashi, Yui Kawahira, Masashi Watanabe, Hiromasa |
| contents | We study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory and the finite-temperature Higgs phase form a single thermodynamic phase. We combine three approaches: (i) global symmetry analysis, showing that Higgs and deconfined regimes are expected to share the same symmetry pattern distinct from the confined phase; (ii) a deformation analysis, which yields an explicit continuous path between ``deconfined symmetric'' and ``deconfined Higgs'' regions in a reduced three-dimensional lattice model; and (iii) Hybrid Monte Carlo analysis on $16^3\times 8$ and $12^3\times 6$ lattices, showing results suggestive of continuity. These results indicate that the Higgs and deconfined regimes can be continuously connected, while the confined phase remains distinct. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15493 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deconfinement-Higgs continuity in ${\rm SU(2)}$ adjoint Higgs model at finite temperature Hayashi, Yui Kawahira, Masashi Watanabe, Hiromasa High Energy Physics - Theory High Energy Physics - Lattice We study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory and the finite-temperature Higgs phase form a single thermodynamic phase. We combine three approaches: (i) global symmetry analysis, showing that Higgs and deconfined regimes are expected to share the same symmetry pattern distinct from the confined phase; (ii) a deformation analysis, which yields an explicit continuous path between ``deconfined symmetric'' and ``deconfined Higgs'' regions in a reduced three-dimensional lattice model; and (iii) Hybrid Monte Carlo analysis on $16^3\times 8$ and $12^3\times 6$ lattices, showing results suggestive of continuity. These results indicate that the Higgs and deconfined regimes can be continuously connected, while the confined phase remains distinct. |
| title | Deconfinement-Higgs continuity in ${\rm SU(2)}$ adjoint Higgs model at finite temperature |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2510.15493 |