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Projective Geometry of Scattering Amplitudes
November 7, 20163:00 pm – 4:00 pm (CDT)

Projective Geometry of Scattering Amplitudes


Ellis Ye Yuan (Institute for Advanced Study)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

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.

Video Recording

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