amplituhedron

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noun

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”

Scrabble 21

Meanings

nounamplituhedron (plural amplituhedra or amplituhedrons)

plural amplituhedra · plural amplituhedrons

  1. quantum field theoriesA 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

    3 more examples

    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.

    2015, Yvon Gauthier, Towards an Arithmetical Logic, page 173

    The amplituhedron is not built out of spacetime and probabilities; these properties merely arise as consequences of the jewel's geometry.

    2017, Richard L. Amoroso, Universal Quantum Computing, page 486

    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.

    2017 July 29, Anil Ananthaswamy, “The new shape of reality”, in New Scientist, number 3136, page 31

Origin

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.

Full word history & related roots →
Cite this entry
APA

amplituhedron. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/amplituhedron

MLA

“amplituhedron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/amplituhedron. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “amplituhedron,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/amplituhedron.

Source: amplituhedron on Wiktionary, CC BY-SA 4.0.