Towards a parameter-free analysis of the QCD chiral phase transition and its universal critical behavior

Abstract

To quantify the universal properties of chiral phase transition in (2+1)-flavor QCD, we use an improved, renormalized order parameter for the chiral symmetry breaking. We construct ratios of this divergence-free order parameter from its values for different pairs of light quark masses. From this, we determine in a parameter-independent manner, the chiral phase transition temperature $T_c$ and the associated critical exponent $\delta$ of the universality class. We present first numerical results of these calculations on $N_{\tau }=8$ lattices, with staggered fermions.

4 pages, 2 figures, Contribution to the proceedings of 26th DAE BRNS High Energy Physics symposium 2024

References in corpus (4)

• The equation of state in (2+1)-flavor QCD
• The Chiral Phase Transition in three-flavor QCD from Lattice QCD
• Curvature of the chiral phase transition line from the magnetic equation of state of (2+1)-flavor QCD
• Scaling functions of the three-dimensional $Z(2)$, $O(2)$ and $O(4)$ models and their finite size dependence in an external field