Chiral-symmetry behavior at large densities

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Abstract
An asymptotically free theory is considered in which chiral symmetry is dynamically broken so as to produce a fermion mass. The breakdown of chiral symmetry is gradually lost as the fermion-number density increases though the asymptotic freedom remains. The critical density at which chiral symmetry is restored is calculated in terms of the fermion mass dynamically generated at zero temperature and zero chemical potential. Our results may be of consequence in a number of physically realizable situations, as in the collision of heavy nuclei or in the core structure of neutron stars.