Dirac Spectra and Real QCD at Nonzero Chemical Potential

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, 8 Postscript figures, Invited talk at Symposium and Workshop "Continuous Advances in QCD 2002 / Arkadyfest", May 17-

Scientific paper

We show that QCD Dirac spectra well below Lambda_{QCD}, both at zero and at nonzero chemical potential, can be obtained from a chiral Lagrangian. At nonzero chemical potential Goldstone bosons with nonzero baryon number condense beyond a critical value. Such superfluid phase transition is likely to occur in any system with a chemical potential with the quantum numbers of the Goldstone bosons. We discuss the phase diagram for one such system, QCD with two colors, and show the existence of a tricritical point in an effective potential approach.

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