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We study the dynamics in phases with vector condensates of gluons (gluonicphases) in dense two-flavor quark matter. These phases yield an example ofdynamics in which the Higgs mechanism is provided by condensates of gauge (orgauge plus scalar) fields. Because vacuum expectation values of spatialcomponents of vector fields break the rotational symmetry, it is naturally tohave a spontaneous breakdown both of external and internal symmetries in thiscase. In particular, by using the Ginzburg-Landau approach, we establish theexistence of a gluonic phase with both the rotational symmetry and theelectromagnetic U(1) being spontaneously broken. In other words, this phasedescribes an anisotropic medium in which the color and electricsuperconductivities coexist. It is shown that this phase corresponds to aminimum of the Ginzburg-Landau potential and, unlike the two-flavorsuperconducting (2SC) phase, it does not suffer from the chromomagneticinstability. The dual (confinement) description of its dynamics is developedand it is shown that there are light exotic vector hadrons in the spectrum,some of which condense. Because most of the initial symmetries in this systemare spontaneously broken, its dynamics is very rich.Comment: 33 pages, RevTeX; v.2: Published PRD versio

Gluonic phases, vector condensates, and exotic hadrons in dense QCD