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arXiv · hep-lat/0110128

Non-perturbative renormalization for a renormalization group improved gauge action

PACS Collaboration·S. Aoki·R. Burkhalter·M. Fukugita·S. Hashimoto·K. Ide·N. Ishizuka·Y. Iwasaki·K. Kanaya·T. Kaneko·Y. Kuramashi·V. Lesk·M. Okawa·Y. Taniguchi·A. Ukawa·T. Yoshié
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Abstract

Renormalization constants of vector ($Z_V$) and axial-vector ($Z_A$) currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the Schrödinger functional method. Non-perturbative values of $Z_V$ and $Z_A$ turn out to be smaller than the one-loop perturbative values by $O(10%)$ at $a^{-1}\approx 1$ GeV. A sizable scaling violation of meson decay constants $f_π$ and $f_ρ$ observed with the one-loop renormalization factors remains even with non-perturbative renormalization.

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PACS Collaboration, S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K. Ide, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, V. Lesk, M. Okawa, Y. Taniguchi, A. Ukawa, T. Yoshié. 2001-10-16. Non-perturbative renormalization for a renormalization group improved gauge action. https://doi.org/10.1016/s0920-5632(01)01841-2

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