Inhomogeneous chiral condensate in the quark-meson model

Abstract

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite %temperature $T$ baryon chemical potential ${\mu }_B$. The parameters of the model are determined by matching the meson and quark masses, and the pion decay constant to their physical values using the on-shell and modified minimal subtraction schemes. Using a chiral-density wave ansatz for the inhomogeneity, we calculate the effective potential in the mean-field approximation and the result is completely analytic. The size of the inhomogeneous phase depends sensitively on the pion mass and whether one includes the vacuum fluctuations or not. Finally, we briefly discuss the mean-field phase diagram.

arXiv comment15 pages and 7 figs

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• Functional renormalization group study of the Quark-Meson model with $\omega$ meson
• Chiral density wave versus pion condensation at finite density
• Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking
• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Dual chiral density waves in nuclear matter
• Feasibility of a Fulde-Ferrell-Larkin-Ovchinnikov superfluid Fermi atomic gas
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Dual chiral density wave induced oscillating Casimir effect
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Dissecting the moat regime at low energies I: Renormalization and the phase structure
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
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