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

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 $N_{\mathrm{f}}\to \infty$ 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.

Comments: 8 pages + 2 pages appendix, 12 figures, text files with the data to reproduce the figures provided in source; version accepted for publication in PRD