Magnetic Interactions, the Renormalization Group and Color Superconductivity in High Density QCD

Details Magnetic Interactions, the Renormalization Group and Color Superconductivity in High Density QCD Magnetic Interactions, the Renormalization Group and Color Superconductivity in High Density QCD

1999-08-10

arxiv.org/abs/hep-ph/9908310v1

Nucl.Phys.B572:211-226,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 3 figures, latex

Scientific paper

10.1016/S0550-3213(99)00655-0

We investigate the effect of long range magnetic interactions on the renormalization group (RG) evolution of local Cooper pairing interactions near the Fermi surface in high density QCD. We use an explicit cut-off on momentum modes, with special emphasis on screening effects such as Landau damping, to derive the RG equations in a gauge invariant, weak coupling expansion. We obtain the Landau pole $\Delta \sim \mu g^{-5} \exp(- \frac{3 \pi^2}{\sqrt{2} g})$, although the structure of our equations differs from previous results. We also investigate the gap equation, including condensates of higher angular momentum. We show that rotational invariance is unbroken at asymptotically high density, and verify that $\Delta$ is the correct value of the gap when higher modes are included in the analysis.

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