Abstract
Nuclear matter, deconfined quark matter, and Quarkyonic matter in low temperature region are classified based on the 1/Nc expansion. The chiral symmetry in the Quarkyonic matter is investigated by taking into account condensations of chiral particle‐hole pairs. It is argued that chiral symmetry and parity are locally violated by the formation of chiral spirals, 〈ψ̄ exp(2iμqzγ0γz)ψ〉. An extension to multiple chiral spirals is also briefly discussed.
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