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...
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crioppubl:10.1088/1751-8121/ac79ad 2024-06-23T07:49:23+00:00 Limit shape phase transitions: a merger of arctic circles Pallister, James S Gangardt, Dimitri M Abanov, Alexander G National Science Foundation 2022 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 unknown IOP Publishing https://iopscience.iop.org/page/copyright https://iopscience.iop.org/info/page/text-and-data-mining Journal of Physics A: Mathematical and Theoretical volume 55, issue 30, page 304001 ISSN 1751-8113 1751-8121 journal-article 2022 crioppubl https://doi.org/10.1088/1751-8121/ac79ad 2024-06-03T08:15:13Z 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. Article in Journal/Newspaper Arctic IOP Publishing Arctic Journal of Physics A: Mathematical and Theoretical 55 30 304001 |
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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. |
author2 |
National Science Foundation |
format |
Article in Journal/Newspaper |
author |
Pallister, James S Gangardt, Dimitri M Abanov, Alexander G |
spellingShingle |
Pallister, James S Gangardt, Dimitri M Abanov, Alexander G Limit shape phase transitions: a merger of arctic circles |
author_facet |
Pallister, James S Gangardt, Dimitri M Abanov, Alexander G |
author_sort |
Pallister, James 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 |
IOP Publishing |
publishDate |
2022 |
url |
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 |
geographic |
Arctic |
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Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
Journal of Physics A: Mathematical and Theoretical volume 55, issue 30, page 304001 ISSN 1751-8113 1751-8121 |
op_rights |
https://iopscience.iop.org/page/copyright https://iopscience.iop.org/info/page/text-and-data-mining |
op_doi |
https://doi.org/10.1088/1751-8121/ac79ad |
container_title |
Journal of Physics A: Mathematical and Theoretical |
container_volume |
55 |
container_issue |
30 |
container_start_page |
304001 |
_version_ |
1802639769922961408 |