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.
Original language | English |
---|---|
Article number | 304001 |
Number of pages | 20 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 55 |
Issue number | 30 |
Early online date | 5 Jul 2022 |
DOIs | |
Publication status | Published - 29 Jul 2022 |
Keywords
- Gross-Witten-Wadia model
- arctic circle
- free fermions
- limit shape phenomenon
- phase transition
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- General Physics and Astronomy