Non-Perturbative Determination of $c_{\rm SW}$ in Three-flavor Dynamical QCD
CP-PACS, JLQCD Collaborations: S. Aoki, M. Fukugita, S. Hashimoto,, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi,, M. Okawa, V. Lesk, Y. Taniguchi, N. Tsutsui, A. Ukawa, T. Umeda, N. Yamada,, T. Yoshie
TL;DR
This paper non-perturbatively determines the $c_{SW}$ coefficient in three-flavor dynamical QCD using the Schrödinger functional scheme, improving accuracy over perturbative estimates for both RG improved and plaquette gauge actions.
Contribution
It provides the first non-perturbative calculation of $c_{SW}$ for three-flavor dynamical QCD with two types of gauge actions, enhancing precision in lattice QCD simulations.
Findings
Non-perturbative $c_{SW}$ values obtained for both gauge actions.
Comparison shows deviations from one-loop estimates at stronger couplings.
Results improve the accuracy of $O(a)$ improvement in lattice QCD.
Abstract
We present a fully non-perturbative determination of the improvement coefficient in three-flavor dynamical QCD for the RG improved as well as the plaquette gauge actions, using the Schr\"odinger functional scheme. Results are compared with one-loop estimates at weak gauge coupling.
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