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Study of the Running Coupling in Twisted Polyakov Scheme

Graduate School of Science, Nagoya University, Aichi 464-8602, Japan

School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Ibaraki 305-8081, Japan

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E. Itou

Academic Support Center, Kogakuin University, Nakanomachi Hachioji, 192-0015, Japan

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M. Kurachi

Department of Physics, Tohoku University, Sendai, 980-8578, Japan

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C.-J. D. Lin

National Chiao-Tung University, and National Center for Theoretical Sciences, Hsinchu 300, Taiwan

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H. Matsufuru

KEK Computing Center, High Energy Accelerator Research Organization (KEK), Ibaraki 305-8081, Japan

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H. Ohki

Department of Physics, Kyoto University, Kyoto 606-8501, Japan

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T. Onogi

Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan

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E. Shintani

Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan

Speaker.

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, and

T. Yamazaki

Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

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https://doi.org/10.1142/9789814329521_0032Cited by:0 (Source: Crossref)

Abstract:

We present a non-perturbative study of the running coupling constant in the Twisted Polyakov Loop (TPL) scheme. We investigate how the systematic and statistical errors can be controlled via a feasibility study in SU(3) pure Yang-Mills theory. We show that our method reproduces the perturbative determination of the running coupling in the UV and gives consistent results with the theoretical prediction in the IR. We also present our preliminary results for N_f = 12 QCD.