Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories
High Energy Physics - Theory
2026-03-06 v4
Abstract
We calculate the renormalization constants of the N=1, N=2, N=4 supersymmetric Yang-Mills theories in an arbitrary covariant gauge in the dimensional reduction scheme up to three loops. We have found, that the beta-functions for N=1 and N=4 SYM theories are the same from the different triple vertices. This means that the dimensional reduction scheme works correctly in these models up to third order of perturbative theory.
Cite
@article{arxiv.0809.2509,
title = {Three-loop renormalization of the N=1, N=2, N=4 supersymmetric Yang-Mills theories},
author = {V. N. Velizhanin},
journal= {arXiv preprint arXiv:0809.2509},
year = {2026}
}
Comments
6 pages, mismatch for N=2 SYM theory corrected, references updated