From correlation functions to Wilson loops

Details From correlation functions to Wilson loops From correlation functions to Wilson loops

2010-07-19

arxiv.org/abs/1007.3243v3

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 10 figures; typos corrected, references added

Scientific paper

We start with an n-point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with $n$ sides. The limit takes the $n$ points towards the vertices of a null polygonal Wilson loop such that successive distances $x^2_{i,i+1} \to 0$. This produces a fast moving particle that generates a "frame" for the Wilson loop. We explain in detail how the limit is approached, including some subtle effects from the propagation of a fast moving particle in the full interacting theory. We perform perturbative checks by doing explicit computations in N=4 super-Yang-Mills.

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