(2+1)-flavor QCD Thermodynamics from the Gradient Flow

Understand

Recently, we proposed a novel method to define and calculate the energy-momentum tensor (EMT) in lattice gauge theory on the basis of the Yang-Mills gradient flow [1].

• In this proceedings, we summarize the basic idea and technical steps to obtain the bulk thermodynamic quantities in lattice gauge theory using this method for the quenched and $(2+1)$-flavor QCD.
• The revised results of integration measure (trace anomaly) and entropy density of the quenched QCD with corrected coefficients are shown.
• Furthermore, we also show the flow time dependence of the parts of EMT including the dynamical fermions.