Energy-momentum tensor correlation function in Nf=2+1 full QCD at finite temperature

Abstract

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in $N_f=2+1$ full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study the conservation law of the energy-momentum tensor and to test whether the linear response relation is properly realized for the entropy density. By using the linear response relation we calculate the specific heat from the correlation function. We adopt the nonperturbatively improved Wilson fermion and Iwasaki gauge action at a fine lattice spacing $=0.07$ fm. In this paper the temperature is limited to a single value $T=232$ MeV. The $u$, $d$ quark mass is rather heavy with $m_{\pi }/m_{\rho }=0.63$ while the $s$ quark mass is set to approximately its physical value.

9 pages, 4 figures. Talk presented at the 35th International Symposium on Lattice Field Theory (LATTICE 2017), 18-24 June 2017, Granada, Spain

References in corpus (2)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow

Cited by in corpus (8)

• Thermodynamics in quenched QCD: energy--momentum tensor with two-loop order coefficients in the gradient flow formalism
• A study of center and chiral symmetry realization in thermal $\mathcal{N}=1$ super Yang-Mills theory using the gradient flow
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Axial $U(1)$ anomaly in a gravitational field via the gradient flow
• $t\to 0$ extrapolation function in SF$t$X method for the energy-momentum tensor
• High statistics lattice study of stress tensor correlators in pure $SU(3)$ gauge theory