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...
| Main Authors: | , , |
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| Format: | Report |
| Language: | unknown |
| Published: |
arXiv
2022
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.2203.05269 https://arxiv.org/abs/2203.05269 |
| Summary: | 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 |
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