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
N1 - Funding Information:
Numerical simulation for this study was carried out on NEC SX-8R and SX-9 at RCNP, Osaka University, and Hitachi SR16000 and IBM System Blue Gene Solution at KEK under its Large-Scale Simulation Program (Nos. T12-04 and 13/14-20). The work of M. A., M. K., and H. S. are supported in part by a Grant-in-Aid for Scientific Researches 23540307 and 26400272, 25800148, and 23540330, respectively. E. I. is supported in part by Strategic Programs for Innovative Research (SPIRE) Field 5. T. H. is partially supported by RIKEN iTHES Project.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2014
Y1 - 2014
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.
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M3 - Conference article
AN - SCOPUS:85030105472
SN - 1824-8039
VL - Part F130500
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 022
T2 - 32nd International Symposium on Lattice Field Theory, LATTICE 2014
Y2 - 23 June 2014 through 28 June 2014
ER -
