Dense QCD : Overhauser or BCS Pairing ?

Details Dense QCD : Overhauser or BCS Pairing ? Dense QCD : Overhauser or BCS Pairing ?

1999-10-14

arxiv.org/abs/hep-ph/9910347v1

Phys.Rev. D62 (2000) 034015

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 1 figure

Scientific paper

10.1103/PhysRevD.62.034015

We discuss the Overhauser effect (particle-hole pairing) versus the BCS effect (particle-particle or hole-hole pairing) in QCD at large quark density. In weak coupling and to leading logarithm accuracy, the pairing energies can be estimated exactly. For a small number of colors, the BCS effect overtakes the Overhauser effect, while for a large number of colors the opposite takes place, in agreement with a recent renormalization group argument. In strong coupling with large pairing energies, the Overhauser effect may be dominant for any number of colors, suggesting that QCD may crystallize into an insulator at a few times nuclear matter density, a situation reminiscent of dense Skyrmions. The Overhauser effect is dominant in QCD in 1+1 dimensions, although susceptible to quantum effects. It is sensitive to temperature in all dimensions.

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