Inhomogeneous chiral phases away from the chiral limit

Abstract

The effect of explicit chiral-symmetry breaking on inhomogeneous chiral phases is studied within a Nambu-Jona-Lasinio model with nonzero current quark mass. Generalizing an earlier result obtained in the chiral limit, we show within a Ginzburg-Landau analysis that the critical endpoint of the first-order chiral phase boundary between two homogeneous phases gets replaced by a "pseudo-Lifshitz point" when the possibility of inhomogeneous order parameters is considered. Performing a stability analysis we also show that the unstable mode along the phase boundary is in the scalar but not in the pseudoscalar channel, suggesting that modulations which contain pseudoscalar condensates, like a generalized dual chiral density wave, are disfavored against purely scalar ones. Numerically we find that the inhomogeneous phase shrinks as one moves away from the chiral limit, but survives even at significantly large values of the current quark mass.

9 pages, 4 figures; v2: reference and minor typos corrected; v3: references added, comment on fluctuation effects, version accepted for publication at Phys. Lett. B

References in corpus (10)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• The low-temperature behavior of the quark-meson model
• Chiral density wave versus pion condensation at finite density
• Crystalline phases by an improved gradient expansion technique
• Influence of vector interactions on the favored shape of inhomogeneous chiral condensates
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -

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• New developments in lattice QCD on equilibrium physics and phase diagram
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• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
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• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation