Thermodynamics in quenched QCD: Energy-momentum tensor with two-loop order coefficients in the gradient-flow formalism

Takumi Iritani, Masakiyo Kitazawa, Hiroshi Suzuki, Hiromasa Takaura

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number023B02
JournalProgress of Theoretical and Experimental Physics
Volume2019
Issue number2
DOIs
Publication statusPublished - Feb 1 2019

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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