A mass-dependent beta-function

Preprint number: CP3-Origins-2009-7
Author: Dennis D. Dietrich (CP3-Origins)
External link: arXiv.org

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Threshold effects related to fermion masses are considered for an all-order beta-function based on a background field momentum subtraction scheme. Far away from all thresholds, the suggested beta-function reduces to the conjectured all-order form inspired by the Novikov-Shifman-Vainshtein-Zakharov beta-function of N=1 supersymmetric gauge theories with a fixed integer number of fermion flavours. At (formally) infinite masses the corresponding pure Yang–Mills beta-function is recovered. We discuss applications to the phase diagram of non-Abelian field theories.