An algebraic approach to the scattering equations

Huang, R., Rao, J., Feng, B. & He, Y. (2015). An algebraic approach to the scattering equations. Journal of High Energy Physics, 12, 56.. doi: 10.1007/JHEP12(2015)056

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Abstract

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.

Item Type: Article
Additional Information: © The Authors 2015.
Uncontrolled Keywords: Scattering Amplitudes, Differential and Algebraic Geometry, Gauge Symmetry
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/16449

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