The color-flavor locking phase at T not equal 0

We study the color-flavor locked phase of QCD with three massless quarks at high chemical potential and small non zero temperatures. We make use of th e recently introduced effective action to describe such a phase. We obtain the exact order T-2 behaviour of the condensates and of the pressure by for mally comparing the derivative from the QCD functional with symmetry breaki ng to that from the effective lagrangian with external sources, respecting the residual Z(2) invariance of the color-flavor locked phase. From these e xact results, but now at a very tentative level of conjecture, we are lead to think that the phase structure of QCD at very high density consists of t wo superconducting phases and a symmetric one. (C) 1999 Published by Elsevi er Science B.V. All rights reserved.