This article is cited in 8 papers

Contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives

K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Abstract: We use the Schwinger–Dyson equations and Slavnov–Tailor identities to obtain the contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives. We discuss the possible deviation of the result from the corresponding contribution to the exact Novikov–Shifman–Vainshtein–Zakharov $\beta$-function.

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

Received: 23.05.2006
Revised: 05.07.2006

DOI: 10.4213/tmf5989

 English version: Theoretical and Mathematical Physics, 2007, 150:3, 377–392

Bibliographic databases:

• 
• 
• 
• 
•