Wilson loop remainder function for null polygons in the limit of self-crossing
High Energy Physics - Theory
2011-12-02 v3 High Energy Physics - Phenomenology
Abstract
The remainder function of Wilson loops for null polygons becomes divergent if two vertices approach each other. We apply RG techniques to the limiting configuration of a contour with self-intersection. As a result for the two loop remainder we find a quadratic divergence in the logarithm of the distance between the two approaching vertices. The divergence is multiplied by a factor, which is given by a pure number plus the product of two logarithms of cross-ratios characterising the conformal geometry of the self-crossing.
Cite
@article{arxiv.1104.2469,
title = {Wilson loop remainder function for null polygons in the limit of self-crossing},
author = {Harald Dorn and Sebastian Wuttke},
journal= {arXiv preprint arXiv:1104.2469},
year = {2011}
}
Comments
12 pages, 2 figures, typos corrected, references added, note added