Renormalization of Yang-Mills fields in the light-front without non-local terms
High Energy Physics - Theory
2011-05-26 v2
Abstract
The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this happened because of a deficiency in the gauge fixing procedure that results in an incorrect propagator and propose a cure for it by considering the {\em correct} propagator for the gauge potential. We explicitly show that the use of our correct propagator in the light-front leads to a vacuum polarization tensor at the one-loop level that is free of non-local terms.
Keywords
Cite
@article{arxiv.hep-th/0303129,
title = {Renormalization of Yang-Mills fields in the light-front without non-local terms},
author = {Alfredo Takashi Suzuki},
journal= {arXiv preprint arXiv:hep-th/0303129},
year = {2011}
}
Comments
7 pages. This paper has been withdrawn by the author due to an error in the computation of the vacuum polarization tensor