Quarkyonic Chiral Spirals

Abstract

After a brief introduction of the Quarkyonic matter, we argue a possibility of exciton and density wave condensations of chiral particle-hole pairs. Following the Gribov-Zwanziger arguments for Coulomb gauge QCD, we introduce a model of linear confinement. We show that to the leading order of 1=N c and ΛQCD/μ, our 3+1 dimensional model with Nf flavors reduces to QCD in 1+1 dimensions with 2Nf flavors. A doubling of flavors originates from an approximate spin SU(2) symmetry in 3+1 dimensional dynamics in ΛQCD/μ→ 0 limit. The reduced 1+1 dimensional model with finite density can be mapped onto that in vacuum through anomalous chiral rotation, and then can be solved. We found Quarkyonic Chiral Spiral - a chiral condensate forms locally, and varies with the spatial position, z, as (Ψ̄ exp(2iμzγ 0γz)Ψ), rotating in the chiral space. This illustrates local violation but global restoration of the chiral symmetry. © 2010 American Institute of Physics.