26 May 2015 to 12 June 2015
Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University
Europe/Berlin timezone

Hexagon OPE Resummation and 2-dimensional Harmonic Polylogarithms

12 Jun 2015, 11:00
45m
02.430 (Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics<br>Johannes Gutenberg University

Staudingerweg 9 / 2<sup>nd</sup> floor 55128 Mainz

Speaker

Georgios Papathanasiou

Description

In the Wilson loop OPE approach, scattering amplitudes in N=4 super Yang-Mills theory are given by an infinite sum over all excitations of an integrable flux tube.  As a first step towards the resummation of the entire series, we compute the contribution of all single gluon bound states in the weak coupling expansion of the MHV 6-point (or hexagon) amplitude, with the help of nested sum technology. The result is expressed in terms of 2-dimensional harmonic polylogarithms, and very interestingly it also yields the full amplitude in multi-Regge kinematics, under the assumption that the natural function space for the latter are single-valued harmonic polylogarithms.

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