Thermal Phase Transition of Dense QCD

Physics

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Scientific paper

Using the Ginzburg-Landau (GL) free energy, we study the effects of thermal fluctuations of gluons and the diquark pairing field on the superconducting-to-normal state phase transition in a three-flavor color superconductor. At high baryon densities, the system becomes a Type I superconductor and the gluonic fluctuations dominate over diquark fluctuations. The thermal gluons induce a cubic term in the GL free energy, as well as large corrections to quadratic and quartic terms of the order parameter. The cubic term leads to a relatively strong first order transition in comparison to the very weak first order transitions in metallic Type I superconductors. The strength of the first order transition decreases with increasing baryon density. In addition, gluonic fluctuations lower the critical temperature of the first order transition. We derive explicit formulae for the critical temperature and the discontinuity of the order parameter at the critical point. The validity of the first order transition obtained in the one-loop approximation is also examined by estimating the size of the critical region.

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