A calculation of the Lepage-Mackenzie scale for the lattice axial and vector currents

Abstract

We calculate the perturbative scales (q*) for the axial and vector currents for the Wilson action, with and without tadpole improvement, using Lepage and Mackenzie's formalism. The scale for the pseudoscalar density (times the mass) is computed as well. Contrary to naive expectation, tadpole improvement reduces q* by only a small amount for the operators we consider. We also discuss the use of a nonperturbative coupling to calculate the perturbative scale.

13 pages. One postscript figure

References in corpus (4)

• Lattice Determination of Heavy-Light Decay Constants
• Strong Coupling Model for String Breaking on the Lattice
• Renormalons as a Bridge between Perturbative and Nonperturbative Physics
• Perturbative Renormalization Factors of Bilinear Operators for Massive Wilson Quarks on the Lattice

Cited by in corpus (6)

• Lattice Calculation of Heavy-Light Decay Constants with Two Flavors of Dynamical Quarks
• Application of heavy-quark effective theory to lattice QCD: II. Radiative corrections to heavy-light currents
• Scaling and Further Tests of Heavy Meson Decay Constant Determinations from Nonrelativistic QCD
• Lattice results for the decay constant of heavy-light vector mesons
• Perturbative calculation of O(a) improvement coefficients
• One-loop renormalization of heavy-light currents