Non-perturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action

Details Non-perturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action Non-perturbative renormalization of meson decay constants in quenched QCD for a renormalization group improved gauge action

2004-04-30

arxiv.org/abs/hep-lat/0404021v2

Phys.Rev. D70 (2004) 074502

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 18 eps figures. Corrected address

Scientific paper

10.1103/PhysRevD.70.074502

Renormalization constants ($Z$-factors) of vector and axial-vector currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the Schr\"odinger functional method. Non-perturbative values of $Z$-factors turn out to be smaller than one-loop perturbative values by $O(15%)$ at lattice spacing of $a^{-1}\approx$ 1 GeV. The pseudoscalar and vector meson decay constants calculated with the non-perturbative $Z$-factors show a much better scaling behavior compared to previous results obtained with tadpole improved one-loop $Z$-factors. In particular, the non-perturbative $Z$-factors normalized at infinite physical volume show that scaling violation of the decay constants are within about 10% up to the lattice spacing $a^{-1}\sim 1$ GeV. The continuum estimates obtained from data in the range $a^{-1}=$ 1 -- 2 GeV agree with those determined from finer lattices ($a^{-1}\sim 2-4$ GeV) with the standard action.

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