
Physics 2015
The curvature of the chiral phase transition line for small values of $μ_B$Abstract: We present preliminary results from an ongoing calculation to determine the curvature of the chiral phase transition line in the chiral limit along the lightlight, lightstrange and strangestrange chemical potential directions. We do this by studying the appropriate $\mu$derivatives of the chiral condensate as a function of the quark mass and comparing them to the scaling predictions of $3d$$O(N)$ theory. We work at a fixed lattice spacing, $N_\tau=6$ and at four different quark masses $m_\pi\approx$ 140, 110, 90 and 80 MeV. For the light quark curvature, we obtain a value 0.03$\leqslant\kappa_{ll}\leqslant$0.11. We also find that both strange and lightstrange curvatures are around an order of magnitude smaller. Currently, the lightstrange curvature is the least constrained curvature and could have either sign, though our results seem to prefer a slightly negative value.
