Magnetic and rotational vortices in superfluid quark matter

We study, within Ginzburg-Landau theory, the responses of three-flavorsuperfluid quark-gluon plasmas to external magnetic fields and rotation,in both the color-flavor locked and isoscalar color-antitriplet diquarkphases near the critical temperature. Fields are incorporated in thegradient energy arising from long wavelength distortions of thecondensate, via covariant derivatives to satisfy local gauge symmetriesassociated with color and electric charge. Magnetic vortex formation,in response to external magnetic fields, is possible only in the isoscalarphase; in the color-flavor locked phase, external magnetic fields areincompletely screened by the Meissner effect. On the other hand,rotation of the superfluid produces vortices in the color-flavor lockedphase; in the isoscalar phase, it produces a London gluon-photon mixedfield. We estimate the coherence and Meissner lengths and criticalmagnetic fields for the two phases.