From correlation functions to Wilson loops

Abstract

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 $x_{i,i+1}^2\to 0$. 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.

37 pages, 10 figures; typos corrected, references added

References in corpus (6)

• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Comments on operators with large spin
• An Operator Product Expansion for Polygonal null Wilson Loops
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills

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