Baryons in the Gross-Neveu model in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> dimensions at finite number of flavors
Julian Lenz, Laurin Pannullo, Marc Wagner, Björn Wellegehausen, Andreas Wipf
Abstract
In a recent work [J. Lenz et al., Phys. Rev. D 101, 094512 (2020)] 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 ${N}_{\mathrm{f}}\ensuremath{\rightarrow}\ensuremath{\infty}$ 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.