The quark mass and $μ$ dependence of the QCD chiral critical point

Abstract

In order to study the QCD chiral critical point we investigate Binder Cumulants of the chiral condensate. The results were obtained from simulations of 3 and 2+1 flavors of standard staggered fermions and 3 flavors of p4 improved staggered fermions. The quark masses used are close to the physical quark mass. To extract the dependence on quark mass and chemical potential we apply a new reweighting technique based on a Taylor expansion of the action. The reweighting accuracy is ${\cal O}(m)$ for the standard and ${\cal O}(m^2)$, ${\cal O}(μ^2)$ for the p4 action.