Professor Patrick Dorey p.e.dorey@durham.ac.uk
Professor
From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients
Dorey, Patrick; Polvara, Davide
Authors
Davide Polvara
Abstract
Various features of the even order poles appearing in the S-matrices of simply-laced affine Toda field theories are analysed in some detail. In particular, the coefficients of first- and second-order singularities appearing in the Laurent expansion of the S-matrix around a general 2Nth order pole are derived in a universal way using perturbation theory at one loop. We show how to cut loop diagrams contributing to the pole into particular products of tree-level graphs that depend on the on-shell geometry of the loop; in this way, we recover the coefficients of the Laurent expansion around the pole exploiting tree-level integrability properties of the theory. The analysis is independent of the particular simply-laced theory considered, and all the results agree with those obtained in the conjectured bootstrapped S-matrices of the ADE series of theories.
Citation
Dorey, P., & Polvara, D. (2022). From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients. Journal of High Energy Physics, 2022(9), Article 220. https://doi.org/10.1007/jhep09%282022%29220
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 15, 2022 |
Online Publication Date | Sep 26, 2022 |
Publication Date | 2022-09 |
Deposit Date | Oct 26, 2022 |
Publicly Available Date | Mar 29, 2024 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2022 |
Issue | 9 |
Article Number | 220 |
DOI | https://doi.org/10.1007/jhep09%282022%29220 |
Related Public URLs | https://arxiv.org/abs/2206.09368 |
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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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