Department of Mathematics

Mathematical Physics and Gauge Theory

  •  Hedgehog Bases: A taste of the mathematics and physics of scattering amplitudes
  •  03/30/2017
  •  11:00 AM - 11:50 AM
  •  C304 Wells Hall
  •  Daniel Parker, UC Berkeley

Scattering amplitudes are the heart of particle physics, forming a bridge between theory and experiment. The last decade has seen the rise of 'amplitudeology', a program for uncovering the hidden mathematical structures of scattering amplitudes. By importing recent results in mathematics, amplitudeology has produced new insights into scattering amplitudes - such as the 'amplitudehedron' - and translated them into practical computational techniques. In this talk, I will discuss a cluster algebra structure of scattering amplitudes in N=4 Super Yang-Mills theory and deep connections with Goncharov polylogarithms. In order to develop a computational framework which exploits this connection, I show how to construct bases of Goncharov polylogarithms that can be used to describe 6-particle scattering at any order in perturbation theory.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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