1. Limit shape phase transitions: a merger of arctic circles
- Author
-
Pallister, J. S., Gangardt, D. M., and Abanov, A. G.
- Subjects
Condensed Matter - Statistical Mechanics - 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., Comment: 23 pages, 6 figures
- Published
- 2022
- Full Text
- View/download PDF