Evolution of Light-Like Wilson Loops with a Self-Intersection in Loop Space
Abstract
Recently, we proposed a general evolution equation for single quadrilateral Wilson loop on the light-cone. In present work, we study the energy evolution of a combination of two such loops that partially overlap or have a self-intersection. We show that, for a class of geometric variations, then evolution is consistent with our previous conjecture, and we are able to handle the intricacies associated with the self-intersections and overlaps. This way, a step forward is made towards the understanding of loop space, with the hope of studying more complicated structures appearing in phenomenological relevant objects, such as parton distributions.
Keywords
Cite
@article{arxiv.1308.5296,
title = {Evolution of Light-Like Wilson Loops with a Self-Intersection in Loop Space},
author = {T. Mertens and P. Taels},
journal= {arXiv preprint arXiv:1308.5296},
year = {2014}
}
Comments
Correction of some small typos and small changes to the figures. To be submitted for publication to Phys Lett B