Non-perturbative renormalization for a renormalization group improved gauge action

Details Non-perturbative renormalization for a renormalization group improved gauge action Non-perturbative renormalization for a renormalization group improved gauge action

2001-10-16

arxiv.org/abs/hep-lat/0110128v1

Nucl.Phys.Proc.Suppl. 106 (2002) 780-782

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(improvement), 3 pages, 7 figures

Scientific paper

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 Schr\"odinger 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 $f_\pi$ and $f_\rho$ observed with the one-loop renormalization factors remains even with non-perturbative renormalization.

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