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arXiv · 1410.2425

Generalized Loop Space and Evolution of the Light-Like Wilson Loops

I. O. Cherednikov·T. Mertens
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Abstract

Equations of motion for the light-like QCD Wilson loops are studied in the generalized loop space (GLS) setting. To this end, the classically conformal-invariant non-local variations of the cusped Wilson exponentials lying (partially) on the light-cone are formulated in terms of the Fréchet derivative. The rapidity and renormalization-group behaviour of the gauge-invariant quantum correlation functions (in particular, the three-dimensional parton densities) are demonstrated to be connected to certain geometrical properties of the Wilson loops defined in the GLS.

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I. O. Cherednikov, T. Mertens. 2014-10-09. Generalized Loop Space and Evolution of the Light-Like Wilson Loops. https://doi.org/10.1142/s2010194515600289

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