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 t 0 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 t 0-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 expansio… Show more
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