  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.
