Color Superconductivity in High Density QCD

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We describe the effects of the strange quark mass and of color and electric neutrality on the superconducing phases of QCD. We discuss various phases pointing out the corresponding problems, typically arising from a chromomagnetic instability. We show that, at least for particular configurations, the LOFF phase dominates over the gCFL phase, when close to the transition from gCFL to the normal phase.
19 pages, 14 figures. 29th Johns Hopkins Workshop in Theoretical Physics: Strong Matter in the Heavens, Budapest, Hungary, August 1-3, 2005. Eq. (20) corrected. As a consequence figures have been modified to show only the solution with parallel total momenta of the us, ud pairs, as the other configurations are suppressed. Main conclusions of the paper are unchanged

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