Generalized Scheme Transformations for the Elimination of Higher-Loop Terms in the Beta Function of a Gauge Theory
Abstract
We construct and study a generalized one-parameter class of scheme transformations, denoted with , with the property that an scheme transformation eliminates the -loop terms in the beta function of a gauge theory from loop order to order , inclusive. These scheme transformations are applied to the higher-loop calculation of the infrared zero of the beta function of an asymptotically free gauge theory with multiple fermions. We show that scheme transformations in this generalized class satisfy a set of criteria for physical acceptability over a larger range of numbers of fermions than previously studied scheme transformations. We also present an interesting modification of a different type of scheme transformation that removes the three-loop term in the beta function.
Keywords
Cite
@article{arxiv.1405.6244,
title = {Generalized Scheme Transformations for the Elimination of Higher-Loop Terms in the Beta Function of a Gauge Theory},
author = {Robert Shrock},
journal= {arXiv preprint arXiv:1405.6244},
year = {2014}
}
Comments
13 pages, latex