Inhomogeneous Phases in the Chirally Imbalanced 2 + 1-Dimensional Gross-Neveu Model and Their Absence in the Continuum Limit

Symmetry

Marc Wagner¹  Laurin Pannullo¹  Marc Winstel¹ 

[1] Institut für Theoretische Physik, Goethe Universität Frankfurt am Main, Max-von-Laue-Straße 1, 60438 Frankfurt, Germany;

关键词: inhomogeneous phases;    chiral imbalance;    isospin imbalance;    2 + 1-dimensional field theories;    Gross-Neveu model;    mean-field;   

DOI  :  10.3390/sym14020265

来源: DOAJ

【 摘 要 】

We studied the $\mu$-${\mu }_{45}$-T phase diagram of the $2+1$-dimensional Gross-Neveu model, where $\mu$ denotes the ordinary chemical potential, ${\mu }_{45}$ 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.

【 授权许可】

Unknown