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(Online Seminar) Integrability for Feynman Integrals

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Online Seminar

Title

题目

Integrability for Feynman Integrals

Speaker

报告人

Florian Loebbert

Affiliation

所在单位

Humboldt University of Berlin

Date

日期

 2021年1月6日(星期三)15:00

Venue

地点

https://zoom.us/j/97842384446

Contact Person

所内联系人

何颂

Abstract

摘要

 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 different 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. 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.