Large-N phase transition in lattice 2-d principal chiral models

TL;DR

This paper studies the critical behavior of two-dimensional lattice principal chiral models at large N using Monte Carlo simulations, confirming the existence of a second order phase transition at finite coupling.

Contribution

It provides numerical evidence supporting the large-N phase transition in 2D lattice chiral models, validating previous strong coupling analyses.

Findings

Confirmation of a large-N second order phase transition at finite $eta_c$

Numerical results align with strong coupling predictions

Analysis of U(N) and SU(N) models at large N

Abstract

We investigate the large-N critical behavior of 2-d lattice chiral models by Monte Carlo simulations of U(N) and SU(N) groups at large N. Numerical results confirm strong coupling analyses, i.e. the existence of a large-N second order phase transition at a finite $\beta_c$.