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arXiv · 2004.12657

Supergraph calculation of one-loop divergences in higher-derivative $6D$ SYM theory

I. L. Buchbinder·E. A. Ivanov·B. S. Merzlikin·K. V. Stepanyantz
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Abstract

We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and ${\cal N}=(1,0)$ supersymmetric way. We exploit the regularization by dimensional reduction in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant $\beta$-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed {\it a priori}. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

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I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, K. V. Stepanyantz. 2020-04-27. Supergraph calculation of one-loop divergences in higher-derivative $6D$ SYM theory. https://arxiv.org/abs/2004.12657

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