An effective field theory of QCD at high density

Details An effective field theory of QCD at high density An effective field theory of QCD at high density

1998-12-28

arxiv.org/abs/hep-ph/9812510v4

Phys.Lett. B473 (2000) 118-125

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages ReVTeX, 4 eps-figures included using epsf.sty: The gap equation is re-analyzed in the HDL approximation

Scientific paper

10.1016/S0370-2693(99)01472-0

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 $\mu\gg\Lambda_{\rm QCD}$. The quark-gluon coupling is effectively (1+1)-dimensional and 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, $M\sim g_s\mu$, 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.

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