Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance

Abstract

In this work, the phase diagram of the $2+1$-dimensional Gross-Neveu model is investigated with baryon chemical potential as well as chiral chemical potential in the mean-field approximation. We study the theory using two lattice discretizations, which are both based on naive fermions. An inhomogeneous chiral phase is observed only for one of the two discretizations. Our results suggest that this phase disappears in the continuum limit.

Comments: 9 pages, 2 figures, contains ancillary files with plot data; talk given at the 38th International Symposium on Lattice Field theory (LATTICE 2021); July 26-30 2021