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- Title
Thermodynamics for pure SU(2) gauge theory using gradient flow.
- Abstract
We study the equation of state of pure SU($2$) 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 $t_0$ for the SU($2$) gauge theory satisfying $t^2 \langle E \rangle|_{t=t_0} =0.1$ , which is fixed by a natural scaling down of the standard $t_0$ scale for the SU($3$) case based on perturbative analyses. We also show the thermodynamic quantities as a function of $T/T_{\rm c}$ , which are derived by the energy–momentum tensor using the small-flow-time expansion of the gradient flow.
- Subjects
GAUGE field theory; QUANTUM chromodynamics; MONTE Carlo method; GLUEBALLS (Physics); ENERGY density
- Publication
Progress of Theoretical & Experimental Physics: PTEP, 2019, Vol 2019, Issue 3, p1
- ISSN
2050-3911
- Publication type
Article
- DOI
10.1093/ptep/ptz003