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The S-matrix bootstrap. Part I: QFT in AdS

Paulos, Miguel F. ; Penedones, Joao ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro

The journal of high energy physics, 2017-11, Vol.2017 (11), p.1-45, Article 133 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Título:
The S-matrix bootstrap. Part I: QFT in AdS
Autor: Paulos, Miguel F. ; Penedones, Joao ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro
Assuntos: AdS-CFT Correspondence ; Boundary layers ; Boundary Quantum Field Theory ; Classical and Quantum Gravitation ; Conformal Field Theory ; Correlation analysis ; Couplings ; Curvature ; Elementary Particles ; Field theory ; High energy physics ; High Energy Physics - Theory ; Operators ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quantum theory ; Regular Article - Theoretical Physics ; Relativity Theory ; Scattering Amplitudes ; Statistical methods ; String Theory
É parte de: The journal of high energy physics, 2017-11, Vol.2017 (11), p.1-45, Article 133
Descrição: A bstract We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions of the crossing equations in one lower dimension. By sending the curvature radius of the background hyperbolic space to infinity we expect to recover flat-space physics. We explain that this regime corresponds to large scaling dimensions of the boundary operators, and discuss how to obtain the flat-space scattering amplitudes from the corresponding limit of the boundary correlators. We implement this strategy to obtain universal bounds on the strength of cubic couplings in 2D flat-space QFTs using 1D conformal bootstrap techniques. Our numerical results match precisely the analytic bounds obtained in our companion paper using S-matrix bootstrap techniques.
Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
Idioma: Inglês

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The S-matrix bootstrap. Part I: QFT in AdS

Paulos, Miguel F. ; Penedones, Joao ; Toledo, Jonathan ; van Rees, Balt C. ; Vieira, Pedro

Berlin/Heidelberg: Springer Berlin Heidelberg

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