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.

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