From correlation functions to scattering amplitudes

By B. Eden, G. Korchemsky, E. Sokatchev. 2010

168 citations recorded by the source corpus.

A bstractWe study the correlation functions of half-BPS protected operators in $ \mathcal{N} = {4} $ super-Yang-Mills theory, in the limit where the positions of adjacent operators become light-like separated. We compute the loop corrections by means of Lagrangian insertions. The divergences resulting from the light-cone limit are regularized by changing the dimension of the integration measure over the insertion points. Switching from coordinates to dual momenta, we show that the logarithm of the correlation function is identical with twice the logarithm of the matching MHV gluon scattering amplitude. We present a number of examples of this new relation, at one and two loops.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/857c0b3919d1e8d3312c2c0b64bb987a67a770e2

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In Nuclear and High Energy Physics

1. S. Caron-Huot
2. L. Alday
3. L. Mason
4. David Skinner
5. J. Maldacena
6. G. Korchemsky
7. E. Sokatchev
8. J. Drummond

Citations in the corpus

• Notes on the scattering amplitude — Wilson loop duality (2010, methodology): “• Dimensional regularization of the measure in the Lagrangian insertion procedure, keeping the integrand in four dimensions [27].”
• From correlation functions to Wilson loops (2010, background): “In a parallel publication [40] an alternative way to take the light-cone limit is proposed.”
• Scattering amplitudes and Wilson loops in twistor space (2011, methodology): “The duality between MHV scattering amplitudes and Wilson loops has recently been extended further to include light-cone limits of certain n-point correlation functions in work by Alday, Eden, Korchemsky, Maldacena and Sokatchev [32, 40, 41].”