Gauge Field Fluctuations and First-Order Phase Transition in Color Superconductivity

Abstract

We study the gauge field fluctuations in dense quark matter and determine the temperature of the induced first-order phase transition to the color-superconducting phase in weak coupling. We find that the local approximation of the coupling between the gauge potential and the order parameter, employed in the Ginzburg-Landau theory, has to be modified by restoring the full momentum dependence of the polarization function of gluons in the superconducting phase.

5 pages, 1 figure, Revtex, we have modified our conclusions for the metallic superconductor