Analytic determination of the T-\mu phase diagram of the chiral quark model

Abstract

Using a gap equation for the pion mass a nonperturbative method is given for solving the chiral quark-meson model in the chiral limit at the lowest order in the fermion contributions encountered in a large N_f approximation. The location of the tricritical point is analytically determined. A mean field potential is constructed from which critical exponents can be obtained.

Comments: 8 pages, 2 figures. To be published in Proc.of Budapest'04 Workshop on Hot and Dense Matter in Relativistic Heavy Ion Physics, Budapest, Hungary, March 24-27, 2004