Superfluid and pseudo-Goldstone modes in three flavor crystalline color superconductivity

We study the bosonic excitations in the favorite cubic three flavor crystalline Larkin-Ovchinikov-Fulde-Ferrell phases of QCD. We calculate in the Ginzburg-Landau approximation the masses of the eight pseudo Nambu-Goldstone bosons (NGB) present in the low energy theory. We also compute the decay constants of the massless NGB Goldstones associated to superfluidity as well as those of the eight pseudo NGB. Differently from the corresponding situation in the color-flavor-locking phase, we find that meson condensation phases are not expected in the present scenario.