An Operator Product Expansion for Polygonal null Wilson Loops

Details An Operator Product Expansion for Polygonal null Wilson Loops An Operator Product Expansion for Polygonal null Wilson Loops

2010-06-14

arxiv.org/abs/1006.2788v2

JHEP 1104:088,2011

Physics

High Energy Physics

High Energy Physics - Theory

48 pages, 12 figures, harvmac. v2 fixed a small issue regarding divergences

Scientific paper

10.1007/JHEP04(2011)088

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corrections, going beyond the leading terms that were previously considered. These subleading corrections are governed by excitations of high spin operators, or excitations of a flux tube that goes between two Wilson lines. The discussion is valid for any conformal gauge theory, for any coupling and in any dimension. For N=4 super Yang Mills we check this expansion at strong coupling and at two loops at weak coupling . We also make predictions for the remainder function at higher loops. In the process, we also derived a new version for the TBA integral equations that determine the strong coupling answer and present the area as the associated Yang-Yang functional.

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