HET Seminar | Ellis Ye Yuan, School of Natural Sciences, IAS | “Projective Geometry of Scattering Amplitudes”

Fri, Oct 28, 2016, 1:45 pm to 2:45 pm
Bloomberg Hall of Physics Library - Institute for Advanced Study
I will introduce a technique in studying the analytic structure of perturbative S-matrix of QFTs. The main idea is to associate Feynman integrals to objects in a projective space: polytopes and hypersurfaces. At one loop, this reveals a universal structure for all possible Feynman integrals (in particular, including one-loop amplitudes in any QFTs), and gives rise to two simple algebraic algorithms to determine the integrals (as functions of the kinematics). I will also comment on the generalization to higher loop levels.