Quarkyonic matter and chiral spirals

The nuclear matter, deconfined quark matter, and Quarkyonic matter in low temperature region are classified based on the 1/N_c expansion. The chiral symmetry in the Quarkyonic matter is investigated by taking into account condensations of chiral particle-hole pairs. It is argued that the chiral symmetry and parity are locally violated by the formation of chiral spirals, «ψ̄ exp(2iμ_qzγ⁰γ ^z)ψ». An extension to multiple chiral spirals is also briefly discussed.