Chiral density wave versus pion condensation at finite density

Abstract

The quark-meson model is often used as an effective low-energy model for QCD to study the chiral transition at finite temperature $T$, baryon chemical potential ${\mu }_B$, and isospin chemical potential ${\mu }_I$. The parameters of the model are determined by matching the meson and quark masses, as well as the pion decay constant to their physical values using the on-shell and modified minimal subtraction schemes. In this paper, we study the possibility of different phases at zero temperature. In particular, we investigate the competition between an inhomogeneous chiral condensate and a pion condensate. For the inhomogeneity, we use a chiral-density wave ansatz. For a sigma mass of $600$ MeV, we find that an inhomogeneous chiral condensate exist only for pion masses below approximately 37 MeV. We also show that due to our parameter fixing, the onset of pion condensation takes place exactly at ${\mu }_I=\frac{1}{2}{m}_{\pi }$ in accordance with exact results.

14 pages and 11 figs. v2: Minor changes, matches published version in PRD

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• Inhomogeneous chiral phases away from the chiral limit
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Pion crystals hosting topologically stable baryons
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking
• Thermodynamics and phase diagrams of Polyakov-loop extended chiral models
• QCD phase diagram at finite isospin chemical potential and temperature in an IR-improved soft-wall AdS/QCD model
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• Charged pion condensation under parallel electromagnetic fields
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities