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Study of finite volume effects in the non-perturbative determination of $\csw$ with the SF method in full three-flavor lattice QCD

CP-PACS·JLQCD Collaboration·:·K-I. Ishikawa·S. Aoki·M. Fukugita·S. Hashimoto·N. Ishizuka·Y. Iwasaki·K. Kanaya·T. Kaneko·Y. Kuramashi·V. Lesk·M. Okawa·N. Tsutsui·A. Ukawa·T. Umeda·N. Yamada·T. Yoshié
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Abstract

The non-perturbative $\csw$ determined by the Schrödinger functional (SF) method with the RG-improved gauge action in dynamical $N_f=3$ QCD shows a finite volume effect when the numerical simulations are carried out at a constant lattice size $L/a$. We remove the unwanted finite volume effect by keeping physical lattice extent $L$ at a constant. The details of the method and the result obtained for non-perturbative $\csw$ with a constant $L$ are reported.

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CP-PACS, JLQCD Collaboration, :, K-I. Ishikawa, S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, V. Lesk, M. Okawa, N. Tsutsui, A. Ukawa, T. Umeda, N. Yamada, T. Yoshié. 2003-09-22. Study of finite volume effects in the non-perturbative determination of $\csw$ with the SF method in full three-flavor lattice QCD. https://arxiv.org/abs/hep-lat/0309141

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