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Particles and Fields

Eur. Phys. J. C 18, 601-612
DOI: 10.1007/s100520100556

Renormalization of Wilson operators in the light-cone gauge

A. Andrasi

"Rudjer Boskovic"Institute, Zagreb, Croatia


(Received: 31 May 2000 / Published online: 23 January 2001 -© Società Italiana di Fisica, Springer-Verlag 2001)

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.

© Società Italiana di Fisica, Springer-Verlag 2001