One-loop off-shell amplitudes from classical equations of motion
Abstract
In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree level amplitudes. After, by taking advantage of the underlying color structure, we define a consistent sewing procedure to iteratively compute the one-loop integrands. When gauge symmetries are involved, the whole procedure is extended to multiparticle solutions involving ghosts, which can then be accounted for in the full loop computation. Since the required input here is equations of motion and gauge symmetry, our framework naturally extends to one-loop computations in certain non-Lagrangian field theories.
Keywords
Cite
@article{arxiv.2208.02831,
title = {One-loop off-shell amplitudes from classical equations of motion},
author = {Humberto Gomez and Renann Lipinski Jusinskas and Cristhiam Lopez-Arcos and Alexander Quintero Velez},
journal= {arXiv preprint arXiv:2208.02831},
year = {2023}
}
Comments
7 pages. v2: clarifications and references added. Matches published version. v3: cyclic completion rule of equation (1.4) restored as in v1, supersedes the published version