MultivariateResidues: A Mathematica package for computing multivariate residues
MultivariateResidues: A Mathematica package for computing multivariate residues
Multivariate residues appear in many different contexts in theoretical physics and algebraic geometry. In theoretical physics, they for example give the proper definition of generalized-unitarity cuts, and they play a central role in the Grassmannian formulation of the S-matrix by Arkani-Hamed et al. In realistic cases their evaluation can be non-trivial. In this paper we provide a Mathematica package for efficient evaluation of multivariate residues based on methods from computational algebraic geometry.
Computational Physics, Computational Algebraic Geometry, Perturbation Theory
Larsen, Kasper
49008353-d8ca-4de6-a377-e34ba737a3e7
Rietkerk, Robbert
b2ffa8cf-9f48-40c1-9ce8-f9fbd0f6e4bb
Larsen, Kasper
49008353-d8ca-4de6-a377-e34ba737a3e7
Rietkerk, Robbert
b2ffa8cf-9f48-40c1-9ce8-f9fbd0f6e4bb
Larsen, Kasper
(2017)
MultivariateResidues: A Mathematica package for computing multivariate residues.
Mendeley
doi:10.17632/7Z87SF98XS.1
[Dataset]
Abstract
Multivariate residues appear in many different contexts in theoretical physics and algebraic geometry. In theoretical physics, they for example give the proper definition of generalized-unitarity cuts, and they play a central role in the Grassmannian formulation of the S-matrix by Arkani-Hamed et al. In realistic cases their evaluation can be non-trivial. In this paper we provide a Mathematica package for efficient evaluation of multivariate residues based on methods from computational algebraic geometry.
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Published date: 2017
Keywords:
Computational Physics, Computational Algebraic Geometry, Perturbation Theory
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Local EPrints ID: 436634
URI: http://eprints.soton.ac.uk/id/eprint/436634
PURE UUID: d49da39a-2da8-41bb-94ad-ae1c1f03b791
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Date deposited: 18 Dec 2019 17:31
Last modified: 05 May 2023 15:39
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Contributors
Creator:
Kasper Larsen
Other:
Robbert Rietkerk
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