Study of energy-momentum tensor correlation function in Nf = 2 + 1 full QCD for QGP viscosities

Yusuke Taniguchi, Atsushi Baba, Asobu Suzuki, Shinji Ejiri, Kazuyuki Kanaya, Masakiyo Kitazawa, Takanori Shimojo, Hiroshi Suzuki, Takashi Umeda

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Abstract

We study correlation functions of the energy-momentum tensor (EMT) in (2 + 1)-flavor full QCD to evaluate QGP viscosities. We adopt nonperturbatively improved Wilson fermion and Iwasaki gauge action. Our degenerate u, d quark mass is rather heavy with mπ /mρ ' 0.63, while the s quark mass is set to approximately its physical value. Performing simulations on lattices with Nt = 16 to 6 at a fine lattice spacing of a = 0.07 fm, the temperature range of T ' 174–464 MeV is covered using the fixed-scale approach. We attempt to compute viscosities by three steps: (1) calculate two point correlation functions of non-perturbatively renormalized EMT applying the gradient flow method, (2) derive the spectral function from correlation function, and (3) extract viscosities from the spectral function applying the Kubo formula. We report on the status of the project and present preliminary results for the shear viscosity in the high temperature phase.

Original languageEnglish
Article number166
JournalProceedings of Science
Volume334
Publication statusPublished - Jan 1 2018
Event36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States
Duration: Jul 22 2018Jul 28 2018

All Science Journal Classification (ASJC) codes

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    Taniguchi, Y., Baba, A., Suzuki, A., Ejiri, S., Kanaya, K., Kitazawa, M., Shimojo, T., Suzuki, H., & Umeda, T. (2018). Study of energy-momentum tensor correlation function in Nf = 2 + 1 full QCD for QGP viscosities. Proceedings of Science, 334, [166].