PUB - Publikationen an der Universität Bielefeld

We analyze the dependence of the chiral phase transition temperature on baryon number and strangeness chemical potentials by calculating the leading order curvature coefficients in the light and strange quark flavor basis as well as in the conserved charge (B, S) basis. Making use of scaling properties of the magnetic equation of state (MEoS) and including diagonal as well as off-diagonal contributions in the expansion of the energylike scaling variable that enters the parametrization of the MEoS, allows to explore the variation of Tc(piB;piS) = Tc(1 - (kappa 2 B pi2 B + kappa 2 S pi2 S + 2 kappa BS 11 piBpiS)) along different lines in the (piB; piS) plane. On lattices with fixed cutoff in units of temperature, aT= 1=8, we find kappa 2B = 0.015(1), kappa 2S= 0.0124(5) and kappa BS 11 = -0.0050(7). We show that the chemical potential dependence along the line of vanishing strangeness chemical potential is about 10% larger than along the strangeness neutral line. The latter differs only by about 3% from the curvature on a line of vanishing strange quark chemical potential, pis = 0. We also show that close to the chiral limit the strange quark mass contributes like an energylike variable in scaling relations for pseudocritical temperatures. The chiral phase transition temperature decreases with decreasing strange quark mass, Tc(ms) = Tc(mphy s )(1 - 0.097(2)(ms - mphys s )=mphy s + O((Delta ms)2).