"Thermal phase transition of color superconductivity with Ginzburg-Landau action on the lattice"

We study the color superconducting transition by the lattice simulations of the Ginzburg-Landau effective theory which is equivalent to the SU_c(3) x SU_f(3) Higgs model coupled to SU_c(3) color gauge field. This analysis allows us to go beyond the weak coupling approximation. We find that the thermal gluons lead to first order phase transition between the quark-gluon plasma and the color superconductivity. Moreover, by analyzing the eigenvalues of the gauge invariant Higgs condensate, we could make clear distinction between 2-flavor color superconductivity (2SC) and the color flavor locking (CFL) phase. Making comparison with a perturbative analysis, The nature of the QGP to CFL transition and QGP to 2SC transition as well as the phase structure in the coupling constant space are studied in detail. Implication of the results to the QCD phase structure at finite temperature and baryon chemical potential will be also discussed.