Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow

Masakiyo Kitazawa, Takumi Iritani, Masayuki Asakawa, Tetsuo Hatsuda, Hiroshi Suzuki

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42 Citations (Scopus)

Abstract

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with β=6.287-7.500 corresponding to the lattice spacing a=0.013-0.061 fm. The spatial (temporal) sizes are chosen to be Ns=64, 96, 128 (Nτ=12, 16, 20, 22, 24) with the aspect ratio, 5.33≤Ns/Nτ≤8. Double extrapolation, a→0 (the continuum limit) followed by t→0 (the zero flow-time limit), is taken using the numerical data. Above the critical temperature, the thermodynamic quantities are obtained with a few percent precision including statistical and systematic errors. The results are in good agreement with previous high-precision data obtained by using the integral method.

Original languageEnglish
Article number114512
JournalPhysical Review D
Volume94
Issue number11
DOIs
Publication statusPublished - Dec 21 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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