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arXiv 2016-07-07 DOI 10.1103/PhysRevD.95.041902 0 views

The contribution of scalars to N=4 SYM amplitudes

Bonini, Alfredo · Fioravanti, Davide · Piscaglia, Simone · Rossi, Marco

Original · EN

We analyse the contribution of 2n scalars to the Operator Product Expansion series for MHV gluon scattering amplitudes/polygonal Wilson loops in planar N=4 SYM. Hence, we sum up on 2n for large coupling λ: the logarithm of the amplitude is proportional to √λ, thus competing, unexpectedly, with the famous classical contribution. We give explicit expressions for the first terms at large λ in case of two and four scalars. For finalising this analysis, we find profitable an explicit computation of the 2n-scalar term at any coupling by means of Young tableaux, paralleling, under certain aspects, the Nekrasov-Okounkov expressions for N =2 SYM prepotential.

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