Thermal phase transitions and gapless quark spectra in quark matter at high density

摘要: Thermal color superconducting phase transitions in three-flavor quark matter at high baryon density are investigated the Ginzburg-Landau (GL) approach. We constructed GL potential near boundary with a normal by taking into account nonzero masses, electric charge neutrality, and neutrality. found that of states averaged over paired quarks plays crucial role determining phases boundary. By performing weak coupling calculation parameters characterizing terms second order pairing gap, we show three successive second-order take place as temperature increases: modified color-flavor locked ($ud$, $ds$, $us$ pairings) $\ensuremath{\rightarrow}$ dSC ($ud$ $ds$ an isoscalar pairing) (no pairing). The Meissner masses gluons number gapless modes also studied analytically each these phases.