Loop Amplitudes and Quantum Homotopy Algebras
High Energy Physics - Theory
2020-07-07 v2 Mathematical Physics
math.MP
Abstract
We derive a recursion relation for loop-level scattering amplitudes of Lagrangian 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.
Cite
@article{arxiv.1912.06695,
title = {Loop Amplitudes and Quantum Homotopy Algebras},
author = {Branislav Jurco and Tommaso Macrelli and Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:1912.06695},
year = {2020}
}
Comments
17 pages, slightly extended presentation, published version