Tübingen 2003 – scientific programme

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HK: Physik der Hadronen und Kerne

HK 19: Theorie II

HK 19.11: Talk

Tuesday, March 18, 2003, 18:45–19:00, D

The QCD Phase Diagram at Nonzero Temperature, Baryon and Isospin Chemical Potential in Random Matrix Theory — •Bertram Klein¹, Dominique Toublan², and Jacobus J.M. Verbaarschot¹ — ¹Department of Physics and Astronomy, State University of New York at Stony Brook, Stony Brook, NY 11794-3800 — ²Department of Physics, University of Illinois at Urbana-Champaign, IL 61801-3080

We introduce a Random Matrix Model with the symmetries of QCD at finite temperature and chemical potentials for baryon number and isospin. We analyze the phase diagram of this model in the chemical potential plane for different temperatures and quark masses. We find a rich phase diagram with five different phases, which are characterized by the pion condensate and the chiral condensates for each of the two flavors and separated by both first and second order transition lines. For vanishing pion condensate, we find that the critical temperature depends in the same way on the isospin chemical potential and on the baryon number chemical potential. For nonzero quark mass, we remarkably find that the critical endpoint at finite temperature and baryon chemical potential is split in two by a small isospin chemical potential, and that consequently there are two crossovers separating the hadronic and the quark-gluon plasma phase at high temperature.