The beta function in supersymmetric gauge theories. Instantons versus traditional approach

V. A. Novikov, M. A. Shifman, A. I. Vainshtein, V. I. Zakharov

Research output: Contribution to journalArticlepeer-review

297 Scopus citations

Abstract

Within the background field formalism we discuss vacuum loops in supersymmetric gauge theories. A direct connection is revealed between the absence (or presence) of high-order contributions and infrared regularization. A simple explanation is given why the instanton amplitude is exhausted by one loop whilst in the standard supergraph technique the effective action contains terms of all orders in the coupling constant. We present an exact relation between the Gell-Mann-Low function and the anomalous dimensions of matter superfields stemming from instanton calculus.

Original languageEnglish (US)
Pages (from-to)329-333
Number of pages5
JournalPhysics Letters B
Volume166
Issue number3
DOIs
StatePublished - Jan 16 1986

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