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Dual S-matrix Bootstrap I: 2D Theory

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arxiv 2008.02770 v1 pith:N76BZIIN submitted 2020-08-06 hep-th

Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira This is my paper · ORCID
classification hep-th
keywords bootstrapboundss-matrixdualthentheoryanalyticityapplied
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 4 Pith papers

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