Hexagon POPE: effective particles and tree level resummation
Journal of High Energy Physics(2017)
Abstract
We present the resummation of the full Pentagon Operator Product Expansion series of the hexagon Wilson loop in planar 𝒩=4 SYM at tree level. We do so by considering the one effective particle states formed by a fundamental flux tube excitation and an arbitrary number of the so called small fermions which are then integrated out. We derive the one effective particle measures at finite coupling. By evaluating these measures at tree level and summing over all one effective particle states we reproduce the full 6 point tree level amplitude.
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Key words
Integrable Field Theories, Scattering Amplitudes, Wilson’t Hooft and Polyakov loops
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