Large N solution of generalized Gross-Neveu model with two coupling constants

TL;DR

This paper solves a generalized Gross-Neveu model with two couplings in the large N limit, revealing its phase diagram, solitonic solutions, and baryon properties, thus extending the understanding of 1+1 dimensional fermionic models.

Contribution

It provides the exact large N solution of a generalized Gross-Neveu model with two couplings, including phase structure and soliton solutions, bridging models with different chiral symmetries.

Findings

Explicit phase diagram at finite temperature and chemical potential.

Existence of solitonic baryons with fractional baryon number.

Unified solution connecting models with discrete and continuous chiral symmetry.

Abstract

The Gross-Neveu model in 1+1 dimensions is generalized to the case of different scalar and pseudoscalar coupling constants. This enables us to interpolate smoothly between the standard massless Gross-Neveu models with either discrete or continuous chiral symmetry. We present the solution of the generalized model in the large N limit including the vacuum, fermion-antifermion scattering and bound states, solitonic baryons with fractional baryon number and the full phase diagram at finite temperature and chemical potential.