arXiv:hep-lat/0110128·v1·High Energy Physics — Lattice

Non-perturbative renormalization for a renormalization group improved gauge action

CP-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🇯🇵

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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.