Renormalization of Yang-Mills fields in the light-front without non-local terms

Details Renormalization of Yang-Mills fields in the light-front without non-local terms Renormalization of Yang-Mills fields in the light-front without non-local terms

2003-03-14

arxiv.org/abs/hep-th/0303129v2

Physics

High Energy Physics

High Energy Physics - Theory

7 pages. This paper has been withdrawn by the author due to an error in the computation of the vacuum polarization tensor

Scientific paper

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.

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