Zero three-loop beta function in the N = 4 supersymmetric Yang-Mills theory

We have calculated the beta function of the N = 4 supersymmetric Yang-Mills theory through three-loop order and find that it is zero. The calculation was performed using superspace techniques that allowed the evaluation of the complete three-loop chiral-multiplet propagator, which turns out to be mu...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 1981-04, Vol.182 (1), p.125-143
Main Authors: Caswell, William E., Zanon, Daniela
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We have calculated the beta function of the N = 4 supersymmetric Yang-Mills theory through three-loop order and find that it is zero. The calculation was performed using superspace techniques that allowed the evaluation of the complete three-loop chiral-multiplet propagator, which turns out to be much simpler than it is constrained to be by explicit supersymmetry invariance and the Slavnov-Taylor identities. This result strongly supports speculations that the theory is finite and conformally invariant order-by-order in perturbation theory. We give details of the calculations.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(81)90461-2