Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus

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

Research output: Contribution to journalArticlepeer-review

601 Scopus citations

Abstract

The instanton contribution to the vacuum energy in supersymmetric Yang-Mills theories is considered. Using the renormalizability of the theory we find the exact beta function for n-extended supersymmetry (n = 1, 2, 4). The coefficients of the beta function have a geometrical meaning: they are associated with the number of boson and fermion zero modes in the instanton field. If extra matter superfields are added our method allows one to fix the first two coefficients. We prove a non-renormalization theorem which extends the cancellation of vacuum loops to the case of the external instanton field.

Original languageEnglish (US)
Pages (from-to)381-393
Number of pages13
JournalNuclear Physics, Section B
Volume229
Issue number2
DOIs
StatePublished - Dec 19 1983

Bibliographical note

Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

Fingerprint Dive into the research topics of 'Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus'. Together they form a unique fingerprint.

Cite this