Loop space and evolution of the light-like Wilson polygons
Abstract
We address a connection between the energy evolution of the polygonal light-like Wilson exponentials and the geometry of the loop space with the gauge invariant Wilson loops of a variety of shapes being the fundamental degrees of freedom. The renormalization properties and the differential area evolution of these Wilson polygons are studied by making use of the universal Schwinger quantum dynamical approach. We discuss the appropriateness of the dynamical differential equations in the loop space to the study of the energy evolution of the collinear and transverse-momentum dependent parton distribution functions.
Cite
@article{arxiv.1208.5410,
title = {Loop space and evolution of the light-like Wilson polygons},
author = {I. O. Cherednikov and T. Mertens and F. F. Van der Veken},
journal= {arXiv preprint arXiv:1208.5410},
year = {2012}
}
Comments
8 pages, 2 eps figures; needs ws-ijmpcs.cls (supplied). Invited talk presented at the QCD Evolution Workshop, May 14 - 17 (2012), Thomas Jefferson National Accelerator Facility, Newport News (VA), USA