High Energy Theory Group Meeting: Integrability for Feynman Integrals

Florian Loebbert, Humboldt University

04 February 2021, 13:30 
Zoom: https://us02web.zoom.us/j/83037428657?pwd=Z3hubVhmbEtUYXNDajY1R2pTaWpHdz09 
High Energy Theory Group Meeting

Zoom: https://us02web.zoom.us/j/83037428657?pwd=Z3hubVhmbEtUYXNDajY1R2pTaWpHdz09



I give an overview of the Yangian symmetry of Feynman integrals. First I review the connection between AdS/CFT integrability and the Yangian symmetry of massless Feynman graphs. Exploiting the Yangian constraints, I discuss the idea to bootstrap Feynman integrals on various examples. Then I show that also in the massive case large classes of Feynman integrals are constrained by a Yangian extension of dual conformal symmetry. When translated to momentum space, this leads to a novel massive generalization of ordinary conformal symmetry. As an application I demonstrate how the massive Yangian leads to a new representation of all-mass n-gon integrals in terms of single hypergeometric functions. Finally, I argue that these features of massive Feynman integrals can be understood as the integrability of planar scattering amplitudes in a massive version of the fishnet theory, which is obtained as a double-scaling limit of N=4 super Yang-Mills theory on the Coulomb branch.



Seminar Organizer: Andrea Guerrieri



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