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

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arxiv hep-lat/9808032 v1 pith:CL3M6QZU submitted 1998-08-24 hep-lat

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

classification hep-lat
keywords scaleaxialcalculatecurrentsimprovementperturbativetadpolevector
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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