Limit shape phase transitions: a merger of arctic circles

Limit shape phase transitions: a merger of arctic circles
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极限形状相变:北极圈的合并

DOI:
10.1088/1751-8121/ac79ad
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发表时间:
2022
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
Abanov, Alexander G
Abanov, Alexander G
中科院分区:
--
文献类型:
--
作者:
Pallister, James S;Gangardt, Dimitri M;Abanov, Alexander G

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我们考虑一种表现极限形状现象的统计模型的自由费米子形式。该模型有一个相变,可以想象为两个液态区--北极圈的合并。我们表明,合并的北极圆提供了格子QCD中相变的时空分辨图像,称为Gross-Witten-Wadia相变。后者是一个连续的三级相变。我们认为,如果宇称和时间反转对称性保持不变,这种跃迁是普遍存在的,不会受到相互作用的破坏。我们将这种普遍的转变称为合并转变。
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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