  We predict the existence of the gapless Carlson-Goldman modes in the
color-flavor locked color superconducting phase of dense QCD. These modes
resemble Nambu-Goldstone modes of the superconducting phase below the critical
temperature where the Anderson-Higgs mechanism takes place. These modes exist
in the broken phase in the vicinity of the critical line. Their presence does
not eliminate the Meissner effect. The effect of Landau damping on the width of
the Carlson-Goldman modes is discussed.
