Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential

Details Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential

2008-07-29

arxiv.org/abs/0807.4584v1

Phys.Rev.D78:105006,2008

Physics

High Energy Physics

High Energy Physics - Lattice

17 pages, 3 figures

Scientific paper

10.1103/PhysRevD.78.105006

The Dirac spectrum of QCD with dynamical fermions at nonzero chemical potential is characterized by three regions, a region with a constant eigenvalue density, a region where the eigenvalue density shows oscillations that grow exponentially with the volume and the remainder of the complex plane where the eigenvalue density is zero. In this paper we derive the phase diagram of the Dirac spectrum from a chiral Lagrangian. We show that the constant eigenvalue density corresponds to a pion condensed phase while the strongly oscillating region is given by a kaon condensed phase. The normal phase with nonzero chiral condensate but vanishing Bose condensates coincides with the region of the complex plane where there are no eigenvalues.

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