One-loop renormalization of the quark TMD in the target light-cone gauge with the Mandelstam-Leibbrandt prescription reproduces the CSS evolution equations, with the double log traced to the ML zero-mode in diagrams ending on the transverse gauge link.
Rapidity divergences and valid definitions of parton densities
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Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show how the definitions of parton densities can be modified to remove the divergences. A modified definition is not only essential for many phenomenological applications of QCD, but also concerns the treatment of parton densities in non-perturbative approaches. The necessity of modifications in the definition of a parton density also entails corrections in the formulation of light-front quantization for gauge theories.
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One-loop renormalization of quark TMD in the light-cone gauge: CSS evolution
One-loop renormalization of the quark TMD in the target light-cone gauge with the Mandelstam-Leibbrandt prescription reproduces the CSS evolution equations, with the double log traced to the ML zero-mode in diagrams ending on the transverse gauge link.