Landau-Peierls instability in a Fulde-Ferrell type inhomogeneous chiral condensed phase

Abstract

We investigate the stability of an inhomogeneous chiral condensed phase against low energy fluctuations about a spatially modulated order parameter. This phase corresponds to the so-called dual chiral density wave in the context of quark matter, where the chiral condensate is spatially modulated with a finite wavevector in a single direction. From the symmetry viewpoint, the phase realizes a locking of flavor and translational symmetries. Starting with a Landau-Ginzburg-Wilson effective Lagrangian, we find that the associated Nambu-Goldstone modes, whose dispersion relations are spatially anisotropic and soft in the direction normal to the wavevector of the modulation, wash out the long-range order at finite temperatures, but support algebraically decaying long-range correlations. This implies that the phase can exhibit a quasi-one-dimensional order as in liquid crystals.

24pages

References in corpus (6)

• Inhomogeneous chiral condensates
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Inhomogeneous phases in the quark-meson model with vacuum fluctuations
• Novel Lifshitz point for chiral transition in the magnetic field
• Gyroid Phase in Nuclear Pasta
• Quark beta decay in the inhomogeneous chiral phase and cooling of compact stars

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