Strong Coupling Phase of Chiral Gross Neveu Model

TL;DR

This paper numerically investigates the two-dimensional chiral Gross Neveu model, revealing a Kosterlitz-Thouless phase transition at a critical coupling and a strong coupling phase with vanishing correlations.

Contribution

It provides the first numerical simulation of the chiral Gross Neveu model with Kogut-Susskind fermions, identifying phase transitions and strong coupling behavior.

Findings

Kosterlitz-Thouless transition at critical coupling in SU(4) case

Existence of a strong coupling phase with vanishing correlations

Realization of general covariance through dynamical processes

Abstract

We perform the numerical simulation of the two dimensional chiral Gross Neveu model using the Kogut-Susskind(KS) fermion. In the case of SU(4), the Kosterlitz-Thouless phase transition happens at some critical value of the coupling constant. In the case of one flavour, there exists the strong coupling phase in which the correlation functions vanish and the general covariance is realized in the quantum field thoery through the dynamical process.