Generalized Loop Space and Evolution of the Light-Like Wilson Loops
High Energy Physics - Phenomenology
2015-03-06 v1 High Energy Physics - Theory
Nuclear Theory
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 Fr\'echet 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.
Cite
@article{arxiv.1410.2425,
title = {Generalized Loop Space and Evolution of the Light-Like Wilson Loops},
author = {I. O. Cherednikov and T. Mertens},
journal= {arXiv preprint arXiv:1410.2425},
year = {2015}
}
Comments
Talk given at the QCD Evolution Workshop, 12 - 16 May 2014, Santa Fe (NM); 8 pp., 1 figure