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

Autor: I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, K. V. Stepanyantz
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2020, Iss 8, Pp 1-19 (2020)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2020)169
Popis: 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.
Databáze: Directory of Open Access Journals