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The Amplituhedron

Originality
+ 2 - 0
Accuracy
+ 2 - 0
Score
4.18
181 views
Referee this paper: arXiv:1312.2007 by Nima Arkani-Hamed, Jaroslav Trnka

Please use comments to point to previous work in this direction, and reviews to referee the accuracy of the paper. Feel free to edit this submission to summarise the paper (just click on edit, your summary will then appear under the horizontal line)

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(ArXiV abstract)

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. This suggests the existence of a new understanding for scattering amplitudes where locality and unitarity do not play a central role but are derived consequences from a different starting point. In this note we provide such an understanding for N=4 SYM scattering amplitudes in the planar limit, which we identify as ``the volume" of a new mathematical object--the Amplituhedron--generalizing the positive Grassmannian. Locality and unitarity emerge hand-in-hand from positive geometry.

summarized by dimension10
paper authored Dec 6, 2013 to amplituhedron by  (no author on PO assigned yet) 
  • [ revision history ]
    retagged Aug 31, 2014 by dimension10

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