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

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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 wave vector 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 wave vector 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.

Journal

  • Physical Review D

    Physical Review D 92(3), 2015-08-27

    American Physical Society

Codes

  • NII Article ID (NAID)
    120005672631
  • NII NACSIS-CAT ID (NCID)
    AA00773624
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1550-7998
  • Data Source
    IR 
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