EPFL seminars
The Amplituhedron
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Europe/Zurich
Cubotron (EPFL, Lausanne)
Cubotron
EPFL, Lausanne
Description
Perturbative scattering amplitudes in gauge theories have remarkable simplicity and hidden infinite dimensional symmetries that are completely obscured in the conventional formulation of field theory using Feynman diagrams, suggesting the existence of a new understanding for what amplitudes “really are”, where Locality and Unitarity do not play a central role but are derived consequences of more primitive principles.
In this note we provide such an understanding for N = 4 SYM scattering amplitudes in the planar limit, which we define as “the volume” of a new mathematical object –the Amplituhedron– generalizing the Positive Grassmannian. Locality and Unitarity
emerge hand-in-hand from positive geometry.
In this note we provide such an understanding for N = 4 SYM scattering amplitudes in the planar limit, which we define as “the volume” of a new mathematical object –the Amplituhedron– generalizing the Positive Grassmannian. Locality and Unitarity
emerge hand-in-hand from positive geometry.