Higher covariant derivative regularization for calculations in supersymmetric theories

K. V. Stepanyantz

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Tome 272 (2011), pp. 266-276.

Résumé

A variant of the higher covariant derivative regularization is used for calculation of a two-loop $\beta$-function for the general renormalizable $N=1$ supersymmetric theory. It is shown that the $\beta$-function is given by integrals of total derivatives. Partially this can be explained by substituting solutions of Slavnov–Taylor identities into the Schwinger–Dyson equations.

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