Worldline techniques and QCD observables
arXiv:1211.7218
Abstract
This report attempts to capture the essential workings of gauge links (Wilson lines) inside gauge-invariant formulations of parton distribution functions in QCD and gain some deeper insight into their key (renormalization) properties. We show, in particular, that the one-loop anomalous dimension of the Cherednikov-Stefanis quark TMD PDF is in the lightcone gauge , combined with the Mandelstam--Leibbrandt pole prescription, the same as that obtained in the special covariant gauge , leaving no uncanceled rapidity singularities.
8 pages, 2 figures. Presented at Light-Cone 2012, July 08-13, 2012, Cracow, Poland. Dedicated to the memory of Walter Gloeckle, teacher, friend, and colleague. V2 has a couple of minor corrections. V3 matches version accepted for publication in Acta Physica Polonica B