The contribution of O(alpha) radiative corrections to the renormalised anisotropy and application to general tadpole improvement schemes: addendum to "One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice" [hep-lat/0208010]

TL;DR

This paper analyzes how O(alpha) radiative corrections affect the renormalised anisotropy in lattice gauge theories and proposes methods for efficiently tuning tadpole improvement schemes to optimize lattice actions.

Contribution

It extends previous one-loop calculations to include general tadpole improvement schemes and introduces efficient self-consistent tuning methods for radiative corrections.

Findings

Radiative corrections can be interpreted as counterterms affecting anisotropy renormalisation.

Results from Landau mean link improved actions are applicable across tadpole schemes.

Proposes efficient methods for self-consistent tuning of tadpole improvement factors.

Abstract

General O(alpha) radiative corrections to lattice actions may be interpreted as counterterms that give additive contributions to the one-loop renormalisation of the anisotropy. The effect of changing the radiative coefficients is thus easily calculable. In particular, the results obtained in a previous paper for Landau mean link improved actions apply in any tadpole improvement scheme. We explain how this method can be exploited when tuning radiatively improved actions. Efficient methods for self-consistently tuning tadpole improvement factors are also discussed.