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arXiv · 2007.08382

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

Julian J. Lenz·Laurin Pannullo·Marc Wagner·Björn Wellegehausen·Andreas Wipf
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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.

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Julian J. Lenz, Laurin Pannullo, Marc Wagner, Björn Wellegehausen, Andreas Wipf. 2020-07-16. Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors. https://doi.org/10.1103/physrevd.102.114501

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