Energy-momentum tensor correlation function in N_f = 2 + 1 full QCD at finite temperature

¹ Center for Computational Sciences (CCS), University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
² Department of Physics, Niigata University, Niigata 950- 2181, Japan
³ Center for Integrated Research in Fundamental Science and Engineering (CiRfSE), University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
⁴ Department of Physics, Osaka University, Osaka 560-0043, Japan
⁵ J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, 203-1, Shirakata, Tokai, Ibaraki, 319-1106, Japan
⁶ Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
⁷ Department of Physics, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan
⁸ Graduate School of Education, Hiroshima University, Higashihiroshima, Hiroshima 739-8524, Japan

^* Speaker, e-mail: tanigchi@het.ph.tsukuba.ac.jp

Published online: 26 March 2018

Abstract

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in N_f = 2 + 1 full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study the conservation law of the energy-momentum tensor and to test whether the linear response relation is properly realized for the entropy density. By using the linear response relation we calculate the specific heat from the correlation function. We adopt the nonperturba-tively improved Wilson fermion and Iwasaki gauge action at a fine lattice spacing = 0:07 fm. In this paper the temperature is limited to a single value T ≃ 232 MeV. The u, d quark mass is rather heavy with m_π=m_ρ ≃ 0:63 while the s quark mass is set to approximately its physical value.