This article is cited in 4 papers

Two-loop Gell-Mann–Low function of the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives

A. B. Pimenov, K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Abstract: We calculate the two-loop Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives. We show that the integrals determining this function reduce to total derivatives and can be easily calculated analytically.

Keywords: supersymmetry, higher covariant derivative, Feynman diagram, Schwinger–Dyson equation, Slavnov–Taylor identity.

Received: 27.03.2007
Revised: 17.05.2007

DOI: 10.4213/tmf6219

 English version: Theoretical and Mathematical Physics, 2008, 155:3, 848–861

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