Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2020)084
Keywords
Field Theories in Lower Dimensions; Scattering Amplitudes
Categories
Funding
- Government of Canada through NSERC
- Province of Ontario through MRI
- Simons Foundation [488661]
- FAPESP [2016/01343-7, 2017/03303-1]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [16/01343-7] Funding Source: FAPESP
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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.
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