Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions

Abstract

In this work, inhomogeneous chiral phases are studied in a variety of Four-Fermion and Yukawa models in $2+1$ dimensions at zero and non-zero temperature and chemical potentials. Employing the mean-field approximation, we do not find indications for an inhomogeneous phase in any of the studied models. We show that the homogeneous phases are stable against inhomogeneous perturbations. At zero temperature, full analytic results are presented.

10 pages, 1 figure, contains ancillary files with plot data; talk given at the 39th International Symposium on Lattice Field theory (LATTICE 2022) in Bonn; August 8-13 2022

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• Inhomogeneous chiral condensates
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• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
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• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance
• Remnants of large-$N_{\mathrm{f}}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model
• Tricritical curve of massive chiral Gross-Neveu model with isospin

Cited by in corpus (4)

• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density