Phase diagram of the Dirac spectrum at nonzero chemical potential
- Argonne Leadership Computing Facility, 9700 South Cass Avenue, Argonne, Illinois 60439 (United States)
- The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen O (Denmark)
- Department of Physics and Astronomy, SUNY, Stony Brook, New York 11794 (United States)
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.
- OSTI ID:
- 21250937
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 10; Other Information: DOI: 10.1103/PhysRevD.78.105006; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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