An effective field theory of QCD at high density

We derive a (Wilsonian) effective field theory of QCD at finite density by integrating out the states in the Dirac sea when the chemical potential mu much greater than Lambda(QCD). The quark-gluon coupling is effectively (1 + 1)-dimensional the theory contains four-quark operators which become relevant as we approach to the Fermi sea. By calculating the one-loop vacuum polarization tensor in the effective theory, we find the electric gluons have a screening mass, M similar to g(s)mu, while the static magnetic gluons are unscreened. We then investigate the gap equations for color anti-triplet Cooper pairs by including both gluon-exchange interactions and the marginal four-quark interactions in the effective theory. (C) 2000 Published by Elsevier Science B.V. All rights reserved.