English

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

High Energy Physics - Lattice 2018-11-08 v1

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 t2Et=t0=0.1t^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/TcT/T_c, which are derived by the energy-momentum tensor using the small flow time expansion of the gradient flow.

Cite

@article{arxiv.1811.02800,
  title  = {Thermodynamics for SU(2) pure gauge theory using gradient flow},
  author = {Takehiro Hirakida and Etsuko Itou and Hiroaki Kouno},
  journal= {arXiv preprint arXiv:1811.02800},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-23T05:07:27.400Z