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Home > Progress of Theoretical and Experimental Physics (OUP/JPS) > Thermodynamics for pure SU(2) gauge theory using gradient flow |

Hirakida, T (Department of Physics, Graduate School of Sciences, Kyushu University, Fukuoka 819-0395, Japan) ; Itou, E (Research Center for Nuclear Physics (RCNP), Osaka University, Osaka 567-0047, Japan) (Department of Mathematics and Physics, Kochi University, 2-5-1 Akebono-cho, Kochi 780-8520, Japan) ; Kouno, H (Department of Physics, Saga University, Saga 840-8502, Japan)

18 March 2019

**Abstract: ** We study the equation of state of pure SU( ) 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 for the SU( ) gauge theory satisfying , which is fixed by a natural scaling down of the standard scale for the SU( ) case based on perturbative analyses. We also show the thermodynamic quantities as a function of , which are derived by the energy–momentum tensor using the small-flow-time expansion of the gradient flow.

**Published in: ****PTEP 2019 (2019) 033B01**
**Published by: **Oxford University Press/Physical Society of Japan

**DOI: **10.1093/ptep/ptz003

**arXiv: **1805.07106

**License: **CC-BY-3.0