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Superconductivity by long-range color magnetic interaction in high-density quark matter

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arxiv hep-ph/9812287 v1 pith:H3UKHL32 submitted 1998-12-08 hep-ph cond-mat.supr-connucl-th

classification hep-phcond-mat.supr-connucl-th
keywords colorlong-rangemagneticmatterdeltafindinteractionquark
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We argue that in quark matter at high densities, the color magnetic field remains unscreened and leads to the phenomenon of color superconductivity. Using the renormalization group near the Fermi surface, we find that the long-range nature of the magnetic interaction changes the asymptotic behavior of the gap $\Delta$ at large chemical potential $\mu$ qualitatively. We find $\Delta\sim\mu g^{-5}\exp(-{3\pi^2\over\sqrt{2}}{1\over g})$, where $g$ is the small gauge coupling. We discuss the possibility of breaking rotational symmetry by the formation of a condensate with nonzero angular momentum, as well as interesting parallels to some condensed matter systems with long-range forces.

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Cited by 8 Pith papers

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