Worldline techniques and QCD observables

preprint2012arXivOpen access

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 A+=0A^+=0, combined with the Mandelstam--Leibbrandt pole prescription, the same as that obtained in the special covariant gauge a=−3a=-3, leaving no uncanceled rapidity singularities.

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