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
Divisions :	Faculty of Engineering and Physical Sciences > Mathematics
Authors :	Name Email ORCID Jurčo, Branislav Macrelli, Tommaso t.macrelli@surrey.ac.uk Sämann, Christian Wolf, Martin m.wolf@surrey.ac.uk
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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