Non-Fermi Liquid Effects in QCD at High Density

Details Non-Fermi Liquid Effects in QCD at High Density Non-Fermi Liquid Effects in QCD at High Density

2004-05-06

arxiv.org/abs/hep-ph/0405053v2

Phys.Rev. D70 (2004) 054007

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 4 figures

Scientific paper

10.1103/PhysRevD.70.054007

We study non-Fermi liquid effects due to the exchange of unscreened magnetic gluons in high density QCD by using an effective field theory. A one-loop calculation gives the well known result that magnetic gluons lead to a logarithmic enhancement in the fermion self energy near the Fermi surface. The self energy is of the form $\Sigma(\omega)\sim \omega\gamma\log(\omega)$, where $\omega$ is the energy of the fermion, $\gamma=O(g^2)$, and $g$ is the coupling constant. Using an analysis of the Dyson-Schwinger equations we show that, in the weak coupling limit, this result is not modified by higher order corrections even in the regime where the logarithm is large, $\gamma\log(\omega)\sim 1$. We also show that this result is consistent with the renormalization group equation in the high density effective field theory.

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