amplituhedron
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English
Etymology
From amplitude + -hedron. Coined by Nima Arkani-Hamed and Jaroslav Trnka in 2013 and published in 2014 in an article in the Journal of High Energy Physics.
Noun
amplituhedron (plural amplituhedra or amplituhedrons)
- (quantum field theories) A mathematical structure which encodes the integrand of an amplitude in planar N=4 super Yang-Mills theory, used in calculations of scattering amplitudes of particle interactions.
- Meronym: twistor
- 2015, Yvon Gauthier, Towards an Arithmetical Logic, page 173:
- In another parallel universe the amplituhedron, a recent invention in quantum field theory, is a geometric form endowed with a positive Grassmannian, that is an internal arithmetical structure for the calculation of amplitudes in terms of k-planes filling up an n-dimensional space.
- 2017, Richard L. Amoroso, Universal Quantum Computing, page 486:
- The amplituhedron is not built out of spacetime and probabilities; these properties merely arise as consequences of the jewel's geometry.
- 2017 July 29, Anil Ananthaswamy, “The new shape of reality”, in New Scientist, number 3136, page 31:
- Scattering amplitudes that obey the laws of locality and unitarity do emerge from amplituhedra. But unlike in Feynman diagrams, the amplituhedron does not start with space-time that has these properties.