Non-Renormalization Theorems in Non-Renormalizable Theories
Abstract
A perturbative non-renormalization theorem is presented that applies to general supersymmetric theories, including non-renormalizable theories in which the integrand is an arbitrary gauge-invariant function of the chiral superfields and gauge field-strength superfields , and the -integrand is restricted only by gauge invariance. In the Wilsonian Lagrangian, is unrenormalized except for the one-loop renormalization of the gauge coupling parameter, and Fayet-Iliopoulos terms can be renormalized only by one-loop graphs, which cancel if the sum of the U(1) charges of the chiral superfields vanishes. One consequence of this theorem is that in non-renormalizable as well as renormalizable theories, in the absence of Fayet-Iliopoulos terms supersymmetry will be unbroken to all orders if the bare superpotential has a stationary point.
Cite
@article{arxiv.hep-th/9803099,
title = {Non-Renormalization Theorems in Non-Renormalizable Theories},
author = {Steven Weinberg},
journal= {arXiv preprint arXiv:hep-th/9803099},
year = {2009}
}
Comments
13 pages (including title page), no figures. Vanilla LaTeX