Remnants of large-$N_\mathrm{f}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model

TL;DR

This study explores inhomogeneous condensates in the 2-flavor chiral Gross-Neveu model at finite density, revealing persistent structural order with decaying amplitude and mapping phase diagrams across parameters.

Contribution

It provides the first lattice investigation of inhomogeneous condensates in the 2-flavor chiral Gross-Neveu model, examining their persistence and phase structure.

Findings

Remnant structural order persists with decaying amplitude.

Phase diagrams mapped for various lattice parameters.

Results discussed in context of no-go theorems.

Abstract

We study the $(1+1)$-dimensional chiral Gross-Neveu model on the lattice. At finite density, analytic mean-field results predict the existence of inhomogeneous condensates breaking both chiral symmetry and spacetime symmetries spontaneously. We investigate the fate of these inhomogeneities for two flavors and find remnant structural order, albeit with a decaying amplitude. We also map out phase diagrams in the plane spanned by the chemical potential and temperature for different lattice spacings and physical volumes. Finally, we comment on the interpretation of our results in the light of various no-go theorems.