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arXiv · 1811.02800

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

Takehiro Hirakida·Etsuko Itou·Hiroaki Kouno
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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 $t^2\langle E \rangle|_{t=t_0} = 0.1$. 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.

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Takehiro Hirakida, Etsuko Itou, Hiroaki Kouno. 2018-11-07. Thermodynamics for SU(2) pure gauge theory using gradient flow. https://arxiv.org/abs/1811.02800

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