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

Abstract

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. This work is based on a joint-collaboration between FlowQCD and WHOT QCD.

7 pages, Proceedings for the 33rd International Symposium on Lattice Field Theory 14 -18 July 2015 Kobe International Conference Center, Kobe, Japan

References in corpus (2)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Fixed Scale Approach to Equation of State in Lattice QCD

Cited by in corpus (6)

• Equation of State for SU(3) Gauge Theory via the Energy-Momentum Tensor under Gradient Flow
• Small flow-time representation of fermion bilinear operators
• Proof of the renormalizability of the gradient flow
• Energy--momentum tensor on the lattice: recent developments
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
• Towards the QCD equation of state at the physical point using Wilson fermion