English

Generalized Scheme Transformations for the Elimination of Higher-Loop Terms in the Beta Function of a Gauge Theory

High Energy Physics - Theory 2014-08-14 v1 High Energy Physics - Phenomenology

Abstract

We construct and study a generalized one-parameter class of scheme transformations, denoted SR,m,k1S_{R,m,k_1} with m2m \ge 2, with the property that an SR,m,k1S_{R,m,k_1} scheme transformation eliminates the \ell-loop terms in the beta function of a gauge theory from loop order =3\ell=3 to order =m+1\ell=m+1, 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