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This article is cited in 2 scientific papers (total in 2 papers)
The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
Hadleigh Frost Mathematical Institute, University of Oxford, Oxford, UK
Abstract:
We study the Kawai–Lewellen–Tye (KLT) relations for quantum field theory by reformulating it as an isomorphism between two Lie algebras. We also show how explicit formulas for KLT relations arise when studying rational functions on ${\mathcal M}_{0,n}$, and prove identities that allow for arbitrary rational functions to be expanded in any given basis. Via the Cachazo–He–Yuan formulas for, these identities also lead to new formulas for gauge and gravity tree amplitudes, including formulas for so-called Bern–Carrasco–Johansson numerators, in the case of non-linear sigma model and maximal-helicity-violating Yang–Mills amplitudes.
Keywords:
perturbative gauge theory, double copy, binary trees, Lie coalgebras, Lie polynomials.
Received: March 1, 2021; in final form November 1, 2021; Published online November 14, 2021
Citation:
Hadleigh Frost, “The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes”, SIGMA, 17 (2021), 101, 23 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1783 https://www.mathnet.ru/eng/sigma/v17/p101
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Abstract page: | 47 | Full-text PDF : | 12 | References: | 10 |
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