### 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 language | English |
---|---|

Article number | 114512 |

Journal | Physical Review D |

Volume | 94 |

Issue number | 11 |

DOIs | |

Publication status | Published - Dec 21 2016 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*94*(11), [114512]. https://doi.org/10.1103/PhysRevD.94.114512

**Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow.** / Kitazawa, Masakiyo; Iritani, Takumi; Asakawa, Masayuki; Hatsuda, Tetsuo; Suzuki, Hiroshi.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 94, no. 11, 114512. https://doi.org/10.1103/PhysRevD.94.114512

}

TY - JOUR

T1 - Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow

AU - Kitazawa, Masakiyo

AU - Iritani, Takumi

AU - Asakawa, Masayuki

AU - Hatsuda, Tetsuo

AU - Suzuki, Hiroshi

PY - 2016/12/21

Y1 - 2016/12/21

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85017562245&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017562245&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.94.114512

DO - 10.1103/PhysRevD.94.114512

M3 - Article

AN - SCOPUS:85017562245

VL - 94

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 11

M1 - 114512

ER -