Dual S-matrix bootstrap. Part I. 2D theory
Guerrieri, A. L. 
ORCID: 0000-0003-3370-3135, Homrich, A. ORCID: 0000-0003-1326-2766 & Vieira, P. (2020).
Dual S-matrix bootstrap. Part I. 2D theory.
Journal of High Energy Physics, 2020(11),
article number 84.
doi: 10.1007/jhep11(2020)084
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.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | Field Theories in Lower Dimensions, Scattering Amplitudes |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology School of Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution International Public License 4.0.
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