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Dual S-matrix bootstrap. Part I. 2D theory

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.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Guerrieri, Andrea L.0000-0003-3370-3135
Homrich, Alexandre0000-0003-1326-2766
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
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Simons Foundation488661
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)2016/01343-7
Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)2017/03303-1
Subject Keywords:Field Theories in Lower Dimensions, Scattering Amplitudes
Issue or Number:11
Record Number:CaltechAUTHORS:20201117-113445269
Persistent URL:
Official Citation:Guerrieri, A.L., Homrich, A. & Vieira, P. Dual S-matrix bootstrap. Part I. 2D theory. J. High Energ. Phys. 2020, 84 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106705
Deposited By: Tony Diaz
Deposited On:17 Nov 2020 20:06
Last Modified:16 Nov 2021 18:56

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