Transition temperature and the equation of state from lattice QCD, Wuppertal-Budapest results

TL;DR

This paper presents lattice QCD calculations of the transition temperature, equation of state, and phase diagram of QCD, providing detailed results on thermodynamic quantities and transition lines at various lattice spacings.

Contribution

It offers new lattice QCD results for the QCD transition temperature, equation of state, and phase diagram with continuum extrapolation, using improved lattice configurations.

Findings

Transition temperature determined from chiral condensate.

Equation of state (pressure and trace anomaly) computed up to 1000 MeV.

Continuum extrapolated phase diagram with two transition lines.

Abstract

The QCD transition is studied on lattices up to $N_t=16$. The chiral condensate is presented as a function of the temperature, and the corresponding transition temperature is extracted. The equation of state is determined on lattices with $N_t=6,8,10$ and at some temperature values with $N_t=12$. The pressure and the trace anomaly are presented as functions of the temperature in the range 100 ...1000 MeV . Using the same configurations we determine the continuum extrapolated phase diagram of QCD on the $\mu-T$ plane for small to moderate chemical potentials. Two transition lines are defined with two quantities, the chiral condensate and the strange quark number susceptibility.