Abstract
The neutral pion condensate in a chirally broken phase of quark matter is studied in the sigma model with quark and meson degrees of freedom. We find that above a critical quark mass of about 200 MeV the pion-condensed phase is the ground state of the system. In this phase the up and down quark Fermi seas are oppositely polarized along the direction of the pion field wave vector. We calculate the net spin density of the up and down Fermi seas and we estimate the magnetization of the system. Astrophysical implications are briefly discussed.
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