A chiral crystal in cold QCD matter at intermediate densities?

Details A chiral crystal in cold QCD matter at intermediate densities? A chiral crystal in cold QCD matter at intermediate densities?

2000-08-18

arxiv.org/abs/hep-ph/0008207v1

Phys.Rev. D63 (2001) 034008

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages ReVTeX, including 11 ps-/eps-figures

Scientific paper

10.1103/PhysRevD.63.034008

The analogue of Overhauser (particle-hole) pairing in electronic systems (spin-density waves with non-zero total momentum $Q$) is analyzed in finite-density QCD for 3 colors and 2 flavors, and compared to the color-superconducting BCS ground state (particle-particle pairing, $Q$=0). The calculations are based on effective nonperturbative four-fermion interactions acting in both the scalar diquark as well as the scalar-isoscalar quark-hole ('$\sigma$') channel. Within the Nambu-Gorkov formalism we set up the coupled channel problem including multiple chiral density wave formation, and evaluate the resulting gaps and free energies. Employing medium-modified instanton-induced 't Hooft interactions, as applicable around $\mu_q\simeq 0.4$ GeV (or 4 times nuclear saturation density), we find the 'chiral crystal phase' to be competitive with the color superconductor.

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