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 andrasi@thphys.irb.hr
(Received: 31 May 2000 / Published online: 23 January 2001 -© Società Italiana di Fisica, Springer-Verlag 2001)
Abstract
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
