Inhomogeneous phases in the chirally imbalanced 2+1-dimensional Gross-Neveu model and their absence in the continuum limit

  • 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.

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Author:Laurin PannulloORCiD, Marc WagnerORCiDGND, Marc WinstelORCiD
Parent Title (English):Symmetry
Place of publication:Basel
Document Type:Article
Date of Publication (online):2022/01/29
Date of first Publication:2022/01/29
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/01/24
Tag:2 + 1-dimensional field theories; Gross-Neveu model; chiral imbalance; inhomogeneous phases; isospin imbalance; mean-field
Issue:(2), 265
Page Number:18
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung 4.0