Thermodynamics for SU(2) pure gauge theory using gradient flow
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.
- Publication:
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The 36th Annual International Symposium on Lattice Field Theory. 22-28 July
- Pub Date:
- July 2018
- DOI:
- 10.22323/1.334.0167
- arXiv:
- arXiv:1811.02800
- Bibcode:
- 2018slft.confE.167H
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- 7 pages, 3 figures,The proceedings of LATTICE2018, held at Michigan State University, East Lansing, Michigan, USA