  We study the superconducting order parameter fluctuations near the phase
transition into the Larkin-Ovchinnikov-Fulde-Ferrell state in the clean limit
at zero temperature. In contrast to the usual normal metal-to-uniform
superconductor phase transition, the fluctuation corrections are dominated by
the modes with the wave vectors away from the origin. We find that the
superconducting fluctuations lead to a divergent spin susceptibility and a
breakdown of the Fermi-liquid behavior at the quantum critical point.
