Phases and Phase transitions of U(1)$\times$SU(2) symmetric holographic matter
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910611904921600 |
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| author | Järvinen, Matti Kiritsis, Elias Nitti, Francesco Préau, Edwan |
| author_facet | Järvinen, Matti Kiritsis, Elias Nitti, Francesco Préau, Edwan |
| contents | The phase diagram and symmetry breaking patterns of a holographic CFT with U(1)$\times$SU(2) symmetry are analyzed using the simplest holographic action, namely Einstein-Yang-Mills (YM) theory with a negative cosmological constant. This is relevant for both condensed matter and QCD applications. With a U(1) and an "isospin" chemical potential turned on, we determine all possible symmetry breaking patterns, which are associated to the condensation of spin-one order parameters. The possible IR asymptotics of the Einstein-YM solutions are derived analytically, both for 2+1 and 3+1 boundary dimensions. The competing solutions are then computed numerically, both at zero and non-zero temperature, from which the full three-dimensional phase diagram is determined. We find a surface of second order phase transitions that separate uncondensed and condensed phases. In some regions with a large fraction of charged to neutral degrees of freedom, the phase transition becomes first order. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_04630 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Phases and Phase transitions of U(1)$\times$SU(2) symmetric holographic matter Järvinen, Matti Kiritsis, Elias Nitti, Francesco Préau, Edwan High Energy Physics - Theory High Energy Physics - Phenomenology The phase diagram and symmetry breaking patterns of a holographic CFT with U(1)$\times$SU(2) symmetry are analyzed using the simplest holographic action, namely Einstein-Yang-Mills (YM) theory with a negative cosmological constant. This is relevant for both condensed matter and QCD applications. With a U(1) and an "isospin" chemical potential turned on, we determine all possible symmetry breaking patterns, which are associated to the condensation of spin-one order parameters. The possible IR asymptotics of the Einstein-YM solutions are derived analytically, both for 2+1 and 3+1 boundary dimensions. The competing solutions are then computed numerically, both at zero and non-zero temperature, from which the full three-dimensional phase diagram is determined. We find a surface of second order phase transitions that separate uncondensed and condensed phases. In some regions with a large fraction of charged to neutral degrees of freedom, the phase transition becomes first order. |
| title | Phases and Phase transitions of U(1)$\times$SU(2) symmetric holographic matter |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.04630 |