On-shell renormalization scheme for ${\cal N}=1$ SQED and the NSVZ relation
Abstract
In this paper we investigate the renormalization of supersymmetric quantum electrodynamics, regularized by higher derivatives, in the on-shell scheme. It is demonstrated that in this scheme the exact Novikov, Shifman, Vainshtein, and Zakharov (NSVZ) equation relating the -function to the anomalous dimension of the matter superfields is valid in all orders of the perturbation theory. This implies that the on-shell scheme enters the recently constructed continuous set of NSVZ subtraction schemes. To verify this statement, we compare the anomalous dimension of the matter superfields in the two-loop approximation and the -function in the three-loop approximation, which are explicitly calculated in this scheme. The finite renormalizations relating the on-shell scheme to some other NSVZ subtraction schemes formulated previously are obtained.
Keywords
Cite
@article{arxiv.1905.02222,
title = {On-shell renormalization scheme for ${\cal N}=1$ SQED and the NSVZ relation},
author = {A. L. Kataev and A. E. Kazantsev and K. V. Stepanyantz},
journal= {arXiv preprint arXiv:1905.02222},
year = {2019}
}
Comments
18 pages, 1 figure