Towards a precise determination of the equation of state of QCD at high-temperature

Abstract

We present preliminary results towards a fully non-perturbative determination of the equation of state of QCD at very high-temperatures, $T\approx 3-80\mathrm{GeV}$. The key ingredient is the lattice formulation of QCD in a moving reference frame, which allows us for a neat determination of the entropy density from simple expectation values of the momentum-components of the energy-momentum tensor. For the computation we employ $N_{\mathrm{f}}=3$ flavours of non-perturbatively O($a$)-improved Wilson-fermions. We present an analysis of the O($a$)-improvement of the expectation values entering the determination, and show how these can be accurately computed in simulations.

Comments: Talk given at the XIIIth Quark Confinement and the Hadron Spectrum conference, 31 July to 6 August 2018, Maynooth University, Ireland; LaTeX source, 8 pages