Limit shape phase transitions: a merger of arctic circles
We consider a free fermion formulation of a statistical model exhibiting a limit shape phenomenon. The model is shown to have a phase transition that can be visualized as the merger of two liquid regions - arctic circles. We show that the merging arctic circles provide a space-time resolved picture...
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2022
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| Online Access: | https://dx.doi.org/10.48550/arxiv.2203.05269 https://arxiv.org/abs/2203.05269 |
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ftdatacite:10.48550/arxiv.2203.05269 2023-05-15T14:42:41+02:00 Limit shape phase transitions: a merger of arctic circles Pallister, J. S. Gangardt, D. M. Abanov, A. G. 2022 https://dx.doi.org/10.48550/arxiv.2203.05269 https://arxiv.org/abs/2203.05269 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Statistical Mechanics cond-mat.stat-mech FOS Physical sciences Preprint Article article CreativeWork 2022 ftdatacite https://doi.org/10.48550/arxiv.2203.05269 2022-04-01T13:24:33Z We consider a free fermion formulation of a statistical model exhibiting a limit shape phenomenon. The model is shown to have a phase transition that can be visualized as the merger of two liquid regions - arctic circles. We show that the merging arctic circles provide a space-time resolved picture of the phase transition in lattice QCD known as Gross-Witten-Wadia transition. The latter is a continuous phase transition of the third order. We argue that this transition is universal and is not spoiled by interactions if parity and time-reversal symmetries are preserved. We refer to this universal transition as the Merger Transition. : 23 pages, 6 figures Report Arctic DataCite Metadata Store (German National Library of Science and Technology) Arctic |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
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unknown |
| topic |
Statistical Mechanics cond-mat.stat-mech FOS Physical sciences |
| spellingShingle |
Statistical Mechanics cond-mat.stat-mech FOS Physical sciences Pallister, J. S. Gangardt, D. M. Abanov, A. G. Limit shape phase transitions: a merger of arctic circles |
| topic_facet |
Statistical Mechanics cond-mat.stat-mech FOS Physical sciences |
| description |
We consider a free fermion formulation of a statistical model exhibiting a limit shape phenomenon. The model is shown to have a phase transition that can be visualized as the merger of two liquid regions - arctic circles. We show that the merging arctic circles provide a space-time resolved picture of the phase transition in lattice QCD known as Gross-Witten-Wadia transition. The latter is a continuous phase transition of the third order. We argue that this transition is universal and is not spoiled by interactions if parity and time-reversal symmetries are preserved. We refer to this universal transition as the Merger Transition. : 23 pages, 6 figures |
| format |
Report |
| author |
Pallister, J. S. Gangardt, D. M. Abanov, A. G. |
| author_facet |
Pallister, J. S. Gangardt, D. M. Abanov, A. G. |
| author_sort |
Pallister, J. S. |
| title |
Limit shape phase transitions: a merger of arctic circles |
| title_short |
Limit shape phase transitions: a merger of arctic circles |
| title_full |
Limit shape phase transitions: a merger of arctic circles |
| title_fullStr |
Limit shape phase transitions: a merger of arctic circles |
| title_full_unstemmed |
Limit shape phase transitions: a merger of arctic circles |
| title_sort |
limit shape phase transitions: a merger of arctic circles |
| publisher |
arXiv |
| publishDate |
2022 |
| url |
https://dx.doi.org/10.48550/arxiv.2203.05269 https://arxiv.org/abs/2203.05269 |
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Arctic |
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Arctic |
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Arctic |
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Arctic |
| op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
| op_doi |
https://doi.org/10.48550/arxiv.2203.05269 |
| _version_ |
1766314400439861248 |