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

2018/11/07 by Takehiro Hirakida, Hirakida, Takehiro, Etsuko Itou +3
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.1811.02800

openalex publication_date 2018/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 t²⟨ E ⟩|_t=t0 = 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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