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
Contribution of scalars to N=4 supersymmetric Yang-Mills amplitudes
ROSSI, MarcoMembro del Collaboration Group
2017-01-01
Abstract
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| File | Dimensione | Formato | |
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1607.02084.pdf
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Descrizione: Publisher: American Physical Society; Publisher version is available at: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.041902; Citation: Boninia A., Fioravanti D., Piscaglia S., Rossi M. PHYSICAL REVIEW D 95, 041902(R) (2017)
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