Limit shape phase transitions: a merger of arctic circles
Abstract 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...
| Published in: | Journal of Physics A: Mathematical and Theoretical |
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| Main Authors: | , , |
| Other Authors: | |
| Format: | Article in Journal/Newspaper |
| Language: | unknown |
| Published: |
IOP Publishing
2022
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1088/1751-8121/ac79ad https://iopscience.iop.org/article/10.1088/1751-8121/ac79ad https://iopscience.iop.org/article/10.1088/1751-8121/ac79ad/pdf |
| Summary: | Abstract 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. |
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