Renormalization of Wilson Operators in the Light-Cone Gauge

Details Renormalization of Wilson Operators in the Light-Cone Gauge Renormalization of Wilson Operators in the Light-Cone Gauge

1999-12-16

arxiv.org/abs/hep-th/9912138v2

Eur.Phys.J.C18:601-612,2001

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 18 pages, 20 figures, revised

Scientific paper

10.1007/s100520100556

We test the renormalization of Wilson operators and the Mandelstam- Leibbrandt gauge in the case when the sides of the loop are parallel to the n, n* vectors used in the M-L gauge. Graphs which in the Feynman gauge are free of ultra-violet divergences, in the M-L gauge show double divergences and single divergences with non-local Si and Ci functions. These non-local functions cancel out when we add all graphs together and the constraints of gauge invariance are satisfied. In Appendix C we briefly discuss the problems of the M-L gauge for loops containing spacelike lines.

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