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Worldline techniques and QCD observables

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arxiv 1211.7218 v3 pith:3OYYERKJ submitted 2012-11-30 hep-ph hep-th

Worldline techniques and QCD observables

classification hep-ph hep-th
keywords gaugeanomalousattemptscapturecherednikov-stefaniscombinedcovariantdeeper
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $A^+=0$, combined with the Mandelstam--Leibbrandt pole prescription, the same as that obtained in the special covariant gauge $a=-3$, leaving no uncanceled rapidity singularities.

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