Scattering amplitude recursion relations in Batalin-Vilkovisky–quantizable theories
Tools
Tools
Tools
Macrelli, Tommaso, Sämann, Christian and Wolf, Martin (2019) Scattering amplitude recursion relations in Batalin-Vilkovisky–quantizable theories Physical Review D, 100 (4), 045017. 045017-1 - 045017-22.
|
Text
Scattering amplitude recursion relations.pdf - Version of Record Available under License Creative Commons Attribution. Download (634kB) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevD.100.045017
Abstract
Tree-level scattering amplitudes in Yang-Mills theory satisfy a recursion relation due to Berends and Giele which yields e.g., the famous Parke-Taylor formula for maximally helicity violating amplitudes. We show that the origin of this recursion relation becomes clear in the Batalin-Vilkovisky (BV) formalism, which encodes a field theory in an L∞-algebra. The recursion relation is obtained in the transition to a smallest representative in the quasi-isomorphism class of that L∞-algebra, known as a minimal model. In fact, the quasi-isomorphism contains all the information about the scattering theory. As we explain, the computation of such a minimal model is readily performed in any BV quantizable theory, which, in turn, produces recursion relations for its tree-level scattering amplitudes.
| Item Type: | Article | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||||||||
| Authors : |
|
||||||||||||
| Date : | 16 August 2019 | ||||||||||||
| Funders : | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||||||
| DOI : | 10.1103/PhysRevD.100.045017 | ||||||||||||
| Copyright Disclaimer : | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. | ||||||||||||
| Uncontrolled Keywords : | Feynman diagrams; Field & string theory models & techniques; Non-Abelian gauge theories; Perturbation theory; Scattering amplitudes | ||||||||||||
| Depositing User : | Clive Harris | ||||||||||||
| Date Deposited : | 28 Aug 2019 14:06 | ||||||||||||
| Last Modified : | 28 Aug 2019 14:06 | ||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/852491 |
Actions (login required)
 |
View Item |
Downloads
Downloads per month over past year