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

Abstract

Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, N $$ \mathcal{N} $$ = (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 N $$ \mathcal{N} $$ = (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 β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

Keywords

• Field Theories in Higher Dimensions
• Renormalization Regularization and Renormalons
• Superspaces
• Supersymmetric Gauge Theory