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arXiv · 1206.2921

Limit Cycles in Four Dimensions

Jean-François Fortin·Benjamín Grinstein·Andreas Stergiou
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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.

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Jean-François Fortin, Benjamín Grinstein, Andreas Stergiou. 2012-12-02. Limit Cycles in Four Dimensions. https://doi.org/10.1007/jhep12(2012)112

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