  I describe the dynamics in recently revealed phases with vector condensates
of gauge fields in dense QCD (gluonic phase) and other gauge models. In this
case, the Higgs mechanism is provided by condensates of gauge (or gauge plus
scalar) fields. Because most of the initial symmetries in such systems are
spontaneously broken, their dynamics is very rich. In particular, by using the
Ginzburg-Landau approach, the existence of a gluonic phase with both the
rotational symmetry and the electromagnetic U(1) being spontaneously broken was
established. In other words, this phase describes an anisotropic
superconductor. In the dual (confinement) description of this dynamics in dense
two-flavor QCD, there are light exotic vector hadrons in the spectrum, some of
which condense. There are also vortex-like and roton-like excitations in these
phases.
