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Non-perturbative renormalization of vector and axial vector currents in quenched QCD for a renormalization group improved gauge action

PACS Collaboration·K. Ide·S. Aoki·M. Fukugita·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 an RG-improved gauge action and a tadpole-improved clover quark action using the Schrödinger functional method. Meson decay constants $f_ρ$ and $f_π$ show much better scaling when $Z_V$ and $Z_A$ estimated for infinite physical volume are used instead of $Z$-factors from tadpole-improved one-loop perturbation theory.

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PACS Collaboration, K. Ide, S. Aoki, M. Fukugita, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, V. Lesk, M. Okawa, Y. Taniguchi, A. Ukawa, T. Yoshié. 2003-09-30. Non-perturbative renormalization of vector and axial vector currents in quenched QCD for a renormalization group improved gauge action. https://arxiv.org/abs/hep-lat/0309185

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