Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks

TL;DR

This study investigates the equation of state in finite-temperature QCD with two flavors of improved Wilson quarks, analyzing lattice simulations to understand thermodynamic properties and their dependence on quark mass and lattice size.

Contribution

First study of QCD equation of state with Wilson quarks using improved actions, calculating thermodynamic quantities along lines of constant physics.

Findings

Small quark mass dependence for $m_{PS}/m_{V} extless 0.8

Significant scaling violation at $N_t=4$

Results at $N_t=6$ close to continuum Stefan-Boltzmann limit

Abstract

We present results of a first study of equation of state in finite-temperature QCD with two flavors of Wilson-type quarks. Simulations are made on lattices with temporal size $N_t=4$ and 6, using an RG-improved action for the gluon sector and a meanfield-improved clover action for the quark sector. The lines of constant physics corresponding to fixed values of the ratio $m_{\rm PS}/m_{\rm V}$ of the pseudo-scalar to vector meson masses at zero temperature are determined, and the beta functions which describe the renormalization-group flow along these lines are calculated. Using these results, the energy density and the pressure are calculated as functions of temperature along the lines of constant physics in the range $m_{\rm PS}/m_{\rm V} = 0.65$--0.95. The quark mass dependence in the equation of state is found to be small for $m_{\rm PS}/m_{\rm V} \simlt 0.8$. Comparison of results for $N_t=4$ and $N_t=6$ lattices show significant scaling violation present in the $N_t=4$ results. At high temperatures the results for $N_t=6$ are quite close to the continuum Stefan-Boltzmann limit, suggesting the possibility of a precise continuum extrapolation of thermodynamic quantities from simulations at $N_t\simgt 6$.