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2011

Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills

Caron-Huot, Simon, He, Song

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We derive a set of first-order differential equations obeyed by the S-matrix of planar maximally supersymmetric Yang-Mills theory.

The equations, based on the Yangian symmetry of the theory, involve only finite and regulator-independent quantities and uniquely determine the all-loop S-matrix.
When expanded in powers of the coupling they give derivatives of amplitudes as single integrals over lower-loop, higher-point amplitudes/Wilson loops.
We outline a derivation for the equations using the Operator Product Expansion for Wilson loops.

Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills · Around

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