### Abstract

We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic observables are consistent with those obtained by the conventional integral method. The analysis of the correlation function of total energy supports the energy conservation. It is also addressed that these analyses with gradient flow require less statistics compared with the previous methods. All these results suggest that the energy-momentum tensor can be successfully defined and observed on the lattice with moderate numerical costs with the gradient flow.

Original language | English |
---|---|

Article number | 022 |

Journal | Proceedings of Science |

Volume | Part F130500 |

Publication status | Published - Jan 1 2014 |

Event | 32nd International Symposium on Lattice Field Theory, LATTICE 2014 - New York, United States Duration: Jun 23 2014 → Jun 28 2014 |

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### All Science Journal Classification (ASJC) codes

- General

### Cite this

*Proceedings of Science*,

*Part F130500*, [022].

**Measurement of thermodynamics using gradient flow.** / Kitazawa, Masakiyo; Asakawa, Masayuki; Hatsuda, Tetsuo; Iritani, Takumi; Itou, Etsuko; Suzuki, Hiroshi.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. Part F130500, 022.

}

TY - JOUR

T1 - Measurement of thermodynamics using gradient flow

AU - Kitazawa, Masakiyo

AU - Asakawa, Masayuki

AU - Hatsuda, Tetsuo

AU - Iritani, Takumi

AU - Itou, Etsuko

AU - Suzuki, Hiroshi

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic observables are consistent with those obtained by the conventional integral method. The analysis of the correlation function of total energy supports the energy conservation. It is also addressed that these analyses with gradient flow require less statistics compared with the previous methods. All these results suggest that the energy-momentum tensor can be successfully defined and observed on the lattice with moderate numerical costs with the gradient flow.

AB - We analyze bulk thermodynamics and correlation functions of the energy-momentum tensor in pure Yang-Mills gauge theory using the energy-momentum tensor defined by the gradient flow and small flow time expansion. Our results on thermodynamic observables are consistent with those obtained by the conventional integral method. The analysis of the correlation function of total energy supports the energy conservation. It is also addressed that these analyses with gradient flow require less statistics compared with the previous methods. All these results suggest that the energy-momentum tensor can be successfully defined and observed on the lattice with moderate numerical costs with the gradient flow.

UR - http://www.scopus.com/inward/record.url?scp=85030105472&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85030105472&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85030105472

VL - Part F130500

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 022

ER -