Rachwal, L.
(2022)
*Structure of discontinuities in beta functions in higher-derivative gauge theories.*
Il nuovo cimento C, 45 (2).
pp. 1-11.
ISSN 1826-9885

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## Abstract

We discuss the structure of perturbative one-loop beta functions in higher-derivative gauge theories, which are quadratic in the field strengths. The action of these theories contains arbitrary integer powers n of the gauge-covariant analogue of the d’Alembert operator. We pay special attention to the discontinuities found for UV-divergences in the cases of n = 0 and n = 1. They are explained by mathematical properties of the derivation of perturbative vertices and the various usage of finite sum symbols. We also give examples of the derivation of a 3-vertex.

Item Type: | Article |
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Subjects: | 500 Scienze naturali e Matematica > 530 Fisica |

Depositing User: | Marina Spanti |

Date Deposited: | 05 May 2022 09:27 |

Last Modified: | 05 May 2022 09:27 |

URI: | http://eprints.bice.rm.cnr.it/id/eprint/21845 |

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