%0 Journal Article
%T The curvature of the chiral phase transition line for small values of $¦Ì_B$
%A Prasad Hegde
%A Heng-Tong Ding
%A for the Bielefeld-BNL-CCNU collaboration
%J Physics
%D 2015
%I arXiv
%X 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. We also find that both strange and light-strange curvatures are around an order of magnitude smaller. Currently, the light-strange curvature is the least constrained curvature and could have either sign, though our results seem to prefer a slightly negative value.
%U http://arxiv.org/abs/1511.03378v1