Structure of discontinuities in beta functions in higher-derivative gauge theories

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
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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