Inhomogeneous phases in the quark-meson model with explicit chiral-symmetry breaking

Abstract

We investigate the existence of inhomogeneous chiral phases in the quark-meson model with explicit chiral-symmetry breaking. We find that the inhomogeneous region shrinks with increasing pion masses but survives for the physical value of m_pi. The instability towards inhomogeneous matter occurs in the scalar channel, while pseudoscalar modes are disfavored.

arXiv comment14 pages, 5 figures, contains ancillary files with plot data; v2: figures and typos corrected, corresponds to published version in the EPJ ST Special Issue: Strong Correlations in Dense Matter Physics

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Cited by in corpus (12)

• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• 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 $1\le d<3$
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• 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
• Dissecting the moat regime at low energies I: Renormalization and the phase structure
• Neutrinos in colliding neutron stars and black holes
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation