  For a scalar theory with a global $O(N)$ symmetry, when $N=2$ a spatially
inhomogeneous condensate arises when the term in the Lagrangian with two
spatial derivatives has a negative coefficient. If the condensate for such a
chiral spiral includes only one mode, characterized by a momentum $k_0
\hat{z}$, then in perturbation theory at nonzero temperature the propagator for
the static mode has a double pole when $\vec{k}^2 = k_0^2$. We conjecture that
since chiral spirals spontaneously break both global and spacetime symmetries,
that such double poles are a universal property of their static transverse
modes. Fluctuations from double poles generate linear infrared divergences in
any number of spatial dimensions and disorder the condensate of chiral spirals,
analogous to a type of quantum spin liquid. The characteristic feature of this
region is that over large spatial distances the two point function is the usual
exponential times an oscillatory function. We prove this at large $N$ and
suggest this occurs for all $N > 2$. Implications for four-fermion models and
the phase diagram of QCD are discussed.
