A large N phase transition in the continuum two dimensional SU(N) X SU(N) principal chiral model

TL;DR

This paper demonstrates through numerical analysis that the two-dimensional continuum large N principal chiral model exhibits a phase transition at a critical distance related to the correlation length.

Contribution

It provides the first numerical evidence of a phase transition in the continuum large N principal chiral model in two dimensions.

Findings

Phase transition occurs at a critical distance of the order of the correlation length.

The transition is observed in a smoothed two-point function.

Numerical methods confirm the existence of the phase transition.

Abstract

It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical distance of the order of the correlation length.