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

Abstract

We study 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 is found for one of the two regularizations. Our results suggest that there is no inhomogeneous phase in the continuum limit. We show 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.

arXiv comment18 pages, 7 figures, 1 table; plot data provided in arXiv source; version as published in symmetry

References in corpus (53)

• Array Programming with NumPy
• Quantum Orders and Symmetric Spin Liquids
• Parity violation in hot QCD: why it can happen, and how to look for it
• The QCD phase structure at finite temperature and density
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Chiral symmetry and density wave in quark matter
• Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Quantum Critical Behaviour in a Graphene-like Model
• Anomalous chirality fluctuations in the initial stage of heavy ion collisions and parity odd bubbles
• Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors
• Revised Phase Diagram of the Gross-Neveu Model
• Chiral Symmetry Breaking and Phase Fluctuations in Cuprate Superconductors: A QED${}_3$ Unified Theory of the Pseudogap State
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Topological Currents in Neutron Stars: Kicks, Precession, Toroidal Fields, and Magnetic Helicity
• UV fixed-point structure of the three-dimensional Thirring model
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The Four-Fermi Model in Three Dimensions at Non-Zero Density and Temperature
• Signatures of Moat Regimes in Heavy-Ion Collisions
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature
• Inhomogeneous condensation in effective models for QCD using the finite-mode approach
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Critical flavour number of the Thirring model in three dimensions
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Phase diagram of the large $N$ Gross-Neveu model in a finite periodic box
• Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter
• The Lifshitz Regime and its Experimental Signals
• Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model
• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Comparison of the non-uniform chiral and 2SC phases at finite temperatures and densities
• Critical Behaviour in the Single Flavor Thirring Model in 2+1d
• New baryon matter in the lattice Gross-Neveu model
• Magnetars and the Chiral Plasma Instabilities
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors
• QCD phase diagram with chiral imbalance in NJL model: duality and lattice QCD results
• Phase diagram of helically imbalanced QCD matter
• Chiral spiral in the presence of chiral imbalance
• Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance
• The Planar Thirring Model with Kähler-Dirac Fermions
• Twisted kink dynamics in multiflavor chiral Gross-Neveu model
• Relativistic Model for two-band Superconductivity
• The relevance of the three dimensional Thirring coupling at finite temperature and density
• Exploring the QCD phase diagram via reweighting from isospin chemical potential
• Inhomogeneous Phases in the Chiral Gross-Neveu Model on the Lattice

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• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Revisiting the spatially inhomogeneous condensates in the $(1+1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit