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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ArXiv ePrint: 1206.2921
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Fortin, JF., Grinstein, B. & Stergiou, A. Limit cycles in four dimensions. J. High Energ. Phys. 2012, 112 (2012). https://doi.org/10.1007/JHEP12(2012)112
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DOI: https://doi.org/10.1007/JHEP12(2012)112