S-matrix bootstrap for resonances
Journal of High Energy Physics
September 2018, 2018:52 | Cite as
S-matrix bootstrap for resonances
AuthorsAuthors and affiliations
N. DoroudJ. Elias Miró
Open Access
Regular Article - Theoretical Physics
First Online: 10 September 2018
Received: 04 May 2018
Accepted: 29 July 2018
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Abstract
We study the 2 → 2 S-matrix element of a generic, gapped and Lorentz invariant QFT in d = 1 + 1 space time dimensions. We derive an analytical bound on the coupling of the asymptotic states to unstable particles (a.k.a. resonances) and its physical implications. This is achieved by exploiting the connection between the S-matrix phase-shift and the roots of the S-matrix in the physical sheet. We also develop a numerical framework to recover the analytical bound as a solution to a numerical optimization problem. This later approach can be generalized to d = 3 + 1 spacetime dimensions.
Keywords Field Theories in Lower Dimensions Nonperturbative Effects Integrable Field Theories
ArXiv ePrint: 1804.04376
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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.
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