A precise determination of T_c in QCD from scaling

TL;DR

This paper uses renormalized perturbation theory to analyze lattice QCD data, accurately determining the critical temperature T_c relative to Lambda_msbar for quenched and dynamical quarks, revealing dependence on quark mass.

Contribution

It provides a precise determination of T_c in QCD from lattice data using renormalized perturbation theory, including quenched and dynamical quark cases, and explores the equation of state at 1-loop order.

Findings

T_c scales with lattice size in quenched QCD for small lattices.

The ratio T_c/Lambda_msbar is approximately 1.15 in quenched QCD.

For two-flavor QCD, T_c/Lambda_msbar depends on quark mass, estimated at 0.49 for realistic masses.

Abstract

Existing lattice data on the QCD phase transition are analyzed in renormalized perturbation theory. In quenched QCD it is found that T_c scales for lattices with only 3 time slices, and that T_c/Lambda_msbar=1.15 \pm 0.05. A preliminary estimate in QCD with two flavours of dynamical quarks shows that this ratio depends on the quark mass. For realistic quark masses we estimate T_c/Lambda_msbar=0.49 \pm 0.02. We also investigate the equation of state in quenched QCD at 1-loop order in renormalised perturbation theory.