An algebraic approach to the scattering equations

An algebraic approach to the scattering equations

A bstract We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders the CHY-integrand of scattering amplitudes computable using simple linear algebra and is amenable to an algorit...

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Veröffentlicht in:The journal of high energy physics 2015-12, Vol.2015 (12), p.1-33
Hauptverfasser: Huang, Rijun, Rao, Junjie, Feng, Bo, He, Yang-Hui
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Formalism
High energy physics
Linear algebra
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering
Scattering amplitude
String Theory
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Beschreibung
Zusammenfassung:A bstract We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders the CHY-integrand of scattering amplitudes computable using simple linear algebra and is amenable to an algorithmic approach. Certain identities in the amplitudes as well as rationality of the final integrand become immediate in this formalism.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2015)056