University of Surrey

Test tubes in the lab Research in the ATI Dance Research

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.

Loop Amplitudes and Quantum Homotopy Algebras - VoR.pdf - Version of Record
Available under License Creative Commons Attribution.

Download (333kB) | Preview


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 :
Jurčo, Branislav
Sämann, Christian
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

Actions (login required)

View Item View Item


Downloads per month over past year

Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800