Limit Cycles in Four Dimensions
High Energy Physics - Theory
2012-12-27 v2 High Energy Physics - Phenomenology
Abstract
We present an example of a limit cycle, i.e., a recurrent flow-line of the beta-function vector field, in a unitary four-dimensional gauge theory. We thus prove that beta functions of four-dimensional gauge theories do not produce gradient flows. The limit cycle is established in perturbation theory with a three-loop calculation which we describe in detail.
Cite
@article{arxiv.1206.2921,
title = {Limit Cycles in Four Dimensions},
author = {Jean-François Fortin and Benjamín Grinstein and Andreas Stergiou},
journal= {arXiv preprint arXiv:1206.2921},
year = {2012}
}
Comments
12 pages, 1 figure. Significant revision of the interpretation of our result. Improved description of three-loop calculation