TY - JOUR

T1 - Thermodynamics in quenched QCD

T2 - Energy-momentum tensor with two-loop order coefficients in the gradient-flow formalism

AU - Iritani, Takumi

AU - Kitazawa, Masakiyo

AU - Suzuki, Hiroshi

AU - Takaura, Hiromasa

N1 - Funding Information:
We would like to thank Robert V. Harlander, Kazuyuki Kanaya, Yusuke Taniguchi, and Ryosuke Yanagihara for helpful discussions. This work was supported by Japan Society for the Promotion of Science (JSPS) Grants-in-Aid for Scientific Research, Grant Numbers JP17K05442 (M.K.) and JP16H03982 (H.S.). Numerical simulation was carried out on the IBM System Blue Gene Solution at KEK under its Large-Scale Simulation Program (No. 16/17-07).
Publisher Copyright:
© The Author(s) 2019.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - Have computed the two-loop order (i.e., NNLO) coefficients in the gradient-flow representation of the energy-momentum tensor (EMT) in vector-like gauge theories. In this paper, we study the effect of the two-loop order corrections (and the three-loop order correction for the trace part of the EMT, which is available through the trace anomaly) on the lattice computation of thermodynamic quantities in quenched QCD. The use of the two-loop order coefficients generally reduces the t dependence of the expectation values of the EMT in the gradient-flow representation, where t is the flow time. With the use of the two-loop order coefficients, therefore, the t → 0 extrapolation becomes less sensitive to the fit function, the fit range, and the choice of the renormalization scale; the systematic error associated with these factors is considerably reduced.

AB - Have computed the two-loop order (i.e., NNLO) coefficients in the gradient-flow representation of the energy-momentum tensor (EMT) in vector-like gauge theories. In this paper, we study the effect of the two-loop order corrections (and the three-loop order correction for the trace part of the EMT, which is available through the trace anomaly) on the lattice computation of thermodynamic quantities in quenched QCD. The use of the two-loop order coefficients generally reduces the t dependence of the expectation values of the EMT in the gradient-flow representation, where t is the flow time. With the use of the two-loop order coefficients, therefore, the t → 0 extrapolation becomes less sensitive to the fit function, the fit range, and the choice of the renormalization scale; the systematic error associated with these factors is considerably reduced.

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U2 - 10.1093/ptep/ptz001

DO - 10.1093/ptep/ptz001

M3 - Article

AN - SCOPUS:85066942323

VL - 2019

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 2

M1 - 023B02

ER -