论文标题
极限形状相变：北极圈的合并
Limit shape phase transitions: a merger of arctic circles
论文作者
论文摘要
我们考虑了表现出极限形状现象的统计模型的自由效费公式。该模型显示出具有可视化为两个液体区域的合并 - 北极圆圈的相变。我们表明，合并的北极圈提供了晶格QCD中的相变的时空解决图片，称为GROSS-WITTEN-WADIA TRUNTITION。后者是三阶的连续相变。我们认为，如果保留了奇偶校验和时间反转对称性，这种过渡是普遍的，并且不会因相互作用而破坏。我们将这种普遍过渡称为合并过渡。
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.
