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

Abstract

We present the scale-setting function and the equation of state of the pure SU(2) gauge theory using the gradient flow method. We propose a reference scale t0 for the SU(2) gauge theory satisfying $t^2⟨E⟩{|}_{t=t_0}=0.1$. This reference value is fixed by a natural scaling-down of the standard t0-scale for the SU(3) gauge theory based on the 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.

7 pages, 3 figures,The proceedings of LATTICE2018, held at Michigan State University, East Lansing, Michigan, USA