Davide Polvara
One-loop inelastic amplitudes from tree-level elasticity in 2d
Polvara, Davide
Authors
Abstract
We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level, we derive a formula reproducing one-loop inelastic amplitudes for arbitrary numbers of external legs. We show that any one-loop inelastic amplitude is equal to its tree-level version, in which the masses of particles and propagators are corrected by one-loop bubble diagrams. These amplitudes are nonzero in general and counterterms need to be added to the Lagrangian to restore the integrability at one loop. For the class of simply-laced affine Toda theories, we show that the necessary counterterms are obtained by scaling the potential with an overall multiplicative factor, proving in this way the one-loop integrability of these models. Even though we focus on bosonic theories with polynomial-like interactions, we expect that the on-shell techniques used in this paper to compute amplitudes can be applied to several other models.
Citation
Polvara, D. (2023). One-loop inelastic amplitudes from tree-level elasticity in 2d. Journal of High Energy Physics, 2023(4), Article 20. https://doi.org/10.1007/jhep04%282023%29020
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 26, 2023 |
Online Publication Date | Apr 4, 2023 |
Publication Date | 2023-04 |
Deposit Date | Oct 2, 2023 |
Publicly Available Date | Oct 3, 2023 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2023 |
Issue | 4 |
Article Number | 20 |
DOI | https://doi.org/10.1007/jhep04%282023%29020 |
Public URL | https://durham-repository.worktribe.com/output/1755038 |
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Copyright Statement
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.
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