Questions tagged [amplituhedron]

A geometric object whose volume is related to scattering amplitudes.

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How to prove that the scattering amlitude of bi-adjoint scalar field theory admits a Cachazo-He-Yuan (CHY) representation?

How to prove that the scattering amlitude of bi-adjoint scalar field theory admits a Cachazo-He-Yuan (CHY) representation?
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Other spaces like Fourier space

Are there any other spaces like Fourier space in which one can more physical information than configuration space? In a summer school about scattering amplitudes, someone told me that this relation ...
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Can elementary particles be abstractly represented as polytopes or geometric functions?

In Quantum Field Theory, elementary particles are represented like localized oscillations (localized transverse spherical standing waves) of their underlying fields, or superpositions of their normal ...
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Is the Amplituhedron somehow equivalent to the S-matrix theory?

Amplituhedra are a family of spaces with the property that co-dimension one boundary of an Amplituhedron are the product of "smaller" Amplituhedra. In addition they are given a volume form that has a ...
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Are new discoveries in quantum physics (e.g. Amplituhedron) supporting one of the classical QM interpretations? [closed]

Are new discoveries in quantum physics (e.g. Amplituhedron, Higgs boson) supporting one of the classical QM interpretations? For example Copenhagen, Everett many worlds or Penrose interpretations. Or ...
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What is the meaning of the dlog integrations in the on-shell/grassmannian representation of N=4 SYM scattering amplitudes?

After reading part of this paper by Nima Arkani-Hamed, http://arxiv.org/abs/1212.5605, I cannot understand what is the precise meaning of the $dlog(\alpha)$ integrations. Any on-shell diagram is ...
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Notation for Propability Amplitudes

I've recently stumbled upon a certain piece of notation that doesn't quite seem clear to me. When discussing the amplituhedron, my teacher mentioned the relation between the volume and the amplitude ...
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Relation between canonical forms and volume of polytopes

Références: Ref $1$: Henriette Elvang, Yu-tin Huang: Scattering Amplitudes Ref $2$: Jaroslav Trnka: The Amplituhedron [For simplicity, the notations of the $2$ refs have been merged] The area of a ...
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What happens to the amplituhedron in a non-peturbative context?

The Amplituhedron has recently been popular; it supposedly encodes perturbative scattering amplitudes in a simple, geometric fashion. What happens to it in a non-perturbative context? Is there ...
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What is known on violations of unitarity or locality?

Recently the amplituhedron become a hot topic. I realized that two of the central pillars that QFT is based on, unitarity and locality, are no longer playing an important part (due to gravitational ...
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How does one actually compute the amplituhedron?

I was watching Nima's very popular talk (download if you're using chrome) (also mirrored at youtube here) about the "Amplituhedron", which has suddenly become very popular recently. He talks all ...
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Is integrability necessary for the Amplituhedron?

It is well known that there exist mappings between operators in N = 4 Super Yang–Mills and spin chain states making the theory Bethe Ansatz integrable. Is integrability a necessity for the ...
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What is the actual significance of the amplituhedron?

The news that physicists have discovered a geometrical object that simplifies a lot our models of quantum physics has recently became viral. For an outsider like me, it is difficult to actually ...