Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

TL;DR

This paper investigates baryon formation, spatial distribution, and their relation to chiral condensates in the finite-flavor Gross-Neveu model in 1+1 dimensions, extending previous lattice studies at finite temperature and chemical potential.

Contribution

It advances understanding of baryons in the finite-$N_f$ Gross-Neveu model through lattice simulations, focusing on baryon properties and their connection to chiral symmetry breaking.

Findings

Identification of baryon formation in the finite-$N_f$ GN model.

Analysis of baryon spatial distribution and relation to chiral condensate.

Discussion of lattice fermion coupling to chemical potential.

Abstract

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory. Most importantly, we found an inhomogeneous phase at low temperature and large chemical potential, quite similar to the analytically solvable $N_\mathrm{f} \rightarrow \infty$ limit. In the present work we continue our lattice field theory investigation of the finite-$N_\mathrm{f}$ GN model by studying the formation of baryons, their spatial distribution and their relation to the chiral condensate. As a preparatory step we also discuss a linear coupling of lattice fermions to the chemical potential.