TY  - JOUR
A1  - Pannullo, Laurin
A1  - Wagner, Marc
A1  - Winstel, Marc
T1  - Inhomogeneous phases in the chirally imbalanced 2+1-dimensional Gross-Neveu model and their absence in the continuum limit
T2  - Symmetry
N2  - We studied the μ-μ45-T phase diagram of the 2+1-dimensional Gross-Neveu model, where μ denotes the ordinary chemical potential, μ45 the chiral chemical potential and T the temperature. We use the mean-field approximation and two different lattice regularizations with naive chiral fermions. An inhomogeneous phase at finite lattice spacing was found for one of the two regularizations. Our results suggest that there is no inhomogeneous phase in the continuum limit. We showed that a chiral chemical potential is equivalent to an isospin chemical potential. Thus, all results presented in this work can also be interpreted in the context of isospin imbalance.
KW  - inhomogeneous phases
KW  - chiral imbalance
KW  - isospin imbalance
KW  - 2 + 1-dimensional field theories
KW  - Gross-Neveu model
KW  - mean-field
Y1  - 2022
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/70483
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-704839
SN  - 2073-8994
VL  - 14
IS  - (2), 265
PB  - MDPI
CY  - Basel
ER  -