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- W4287757297 abstract "We revisit analytical methods for constraining the nonperturbative $S$-matrix of unitary, relativistic, gapped theories in $d geq 3$ spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the $S$-matrix bootstrap and how it can be improved based on the results of our analysis." @default.
- W4287757297 created "2022-07-26" @default.
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- W4287757297 date "2020-06-15" @default.
- W4287757297 modified "2023-09-29" @default.
- W4287757297 title "An Analytical Toolkit for the S-matrix Bootstrap" @default.
- W4287757297 doi "https://doi.org/10.48550/arxiv.2006.08221" @default.
- W4287757297 hasPublicationYear "2020" @default.
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