Guerrieri, Andrea L. and Homrich, Alexandre and Vieira, Pedro (2020) Dual S-matrix bootstrap. Part I. 2D theory. Journal of High Energy Physics, 2020 (11). Art. No. 84. ISSN 1029-8479. doi:10.1007/jhep11(2020)084. https://resolver.caltech.edu/CaltechAUTHORS:20201117-113445269
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Abstract
Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serves as a toy model for bootstrapping popular physical systems.
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Additional Information: | © 2020 The Authors. 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. Article funded by SCOAP3. Received: August 14, 2020; Accepted: October 4, 2020; Published: November 17, 2020. We would like to specially thank Joao Penedones for enlightening discussions, for collaboration at the initial stages of this project, and for collaboration in several related projects. We thank Joan Elias Miró for comments on the draft. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MRI. This work was additionally supported by a grant from the Simons Foundation (PV: #488661) and FAPESP grants 2016/01343-7 and 2017/03303-1. | ||||||||||||||
Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||||
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Subject Keywords: | Field Theories in Lower Dimensions, Scattering Amplitudes | ||||||||||||||
Issue or Number: | 11 | ||||||||||||||
DOI: | 10.1007/jhep11(2020)084 | ||||||||||||||
Record Number: | CaltechAUTHORS:20201117-113445269 | ||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201117-113445269 | ||||||||||||||
Official Citation: | Guerrieri, A.L., Homrich, A. & Vieira, P. Dual S-matrix bootstrap. Part I. 2D theory. J. High Energ. Phys. 2020, 84 (2020). https://doi.org/10.1007/JHEP11(2020)084 | ||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
ID Code: | 106705 | ||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||
Deposited By: | Tony Diaz | ||||||||||||||
Deposited On: | 17 Nov 2020 20:06 | ||||||||||||||
Last Modified: | 16 Nov 2021 18:56 |
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