The curvature of the chiral phase transition line for small values of $\mu_B$

Understand

We present preliminary results from an ongoing calculation to determine the curvature of the chiral phase transition line in the chiral limit along the light-light, light-strange and strange-strange 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.