Loop Amplitudes and Quantum Homotopy Algebras
Jurčo, Branislav, Macrelli, Tommaso, Sämann, Christian and Wolf, Martin (2020) Loop Amplitudes and Quantum Homotopy Algebras Journal of High Energy Physics, 2020, 3.
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Abstract
We derive a recursion relation for loop-level scattering amplitudes of La- grangian field theories that generalises the tree-level Berends-Giele recursion relation in Yang-Mills theory. The origin of this recursion relation is the homological perturbation lemma, which allows us to compute scattering amplitudes from minimal models of quantum homotopy algebras in a recursive way. As an application of our techniques, we give an alternative proof of the relation between non-planar and planar colour-stripped scattering amplitudes.
Item Type: | Article | |||||||||||||||
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Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||||||||
Authors : |
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Date : | 1 July 2020 | |||||||||||||||
Funders : | Engineering and Physical Sciences Research Council (EPSRC) | |||||||||||||||
DOI : | 10.1007/JHEP07(2020)003 | |||||||||||||||
Copyright Disclaimer : | This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited | |||||||||||||||
Uncontrolled Keywords : | Scattering Amplitudes; BRST Quantization; Gauge Symmetry | |||||||||||||||
Depositing User : | Clive Harris | |||||||||||||||
Date Deposited : | 20 Jul 2020 10:32 | |||||||||||||||
Last Modified : | 20 Jul 2020 10:32 | |||||||||||||||
URI: | http://epubs.surrey.ac.uk/id/eprint/858243 |
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