Color Superconductivity at Large N: A New Hope - High Energy Physics - PhenomenologyReport as inadecuate

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Abstract: At zero density, the `t Hooft large N c limit often provides some very usefulqualitative insights into the non-perturbative physics of QCD. However, it isknown that at high densities the `t Hooft large N c world looks very differentfrom the N c=3 world, which is believed to be in a color superconducting phaseat high densities. At large N c, on the other hand, the DGR instability causesa chiral-density wave phase to dominate over the color superconducting phase.There is an alternative large N c limit, with the quarks transforming in thetwo-index antisymmetric representation of the gauge group, which at N c=3reduces to QCD but looks quite different at large N c. We show that in thisalternative large N c limit, the DGR instability does not occur, so that it maybe plausible that the ground state of high-density quark matter is a colorsuperconductor even when N c is large. This revives the hope that a large N capproximation might be useful for getting some insights into the high-densityphenomenology of QCD.

Author: Michael I. Buchoff, Aleksey Cherman, Thomas D. Cohen



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