Thermodynamics for pure SU(2) gauge theory using gradient flow

Abstract

We study the equation of state of pure SU(2) gauge theory using Monte Carlo simulations. The scale setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale t 0 for the SU(2) gauge theory satisfying t 2 t=t0 = 0.1, which is fixed by a natural scaling down of the standard t 0 scale for the SU(3) case based on perturbative analyses. We also show the thermodynamic quantities as a function of T/T c , which are derived by the energy-momentum tensor using the small-flow-time expansion of the gradient flow.