Thermodynamics of SU(3) Gauge Theory from Gradient Flow

Abstract

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed temperature are calculated directly on 32^3 x (6,8,10) lattices from the thermal average of the well-defined energy-momentum tensor (T_{mu nu}^R(x)) obtained by the gradient flow. It is demonstrated that the continuum limit can be taken in a controlled manner from the t-dependence of the flowed data.

5 pages, 3 figures; comments and references added (v2), included erratum and all figures are revised (v3)

References in corpus (5)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• A Light Dilaton in Walking Gauge Theories
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
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