The S-matrix bootstrap. Part III: higher dimensional amplitudes

The S-matrix bootstrap. Part III: higher dimensional amplitudes

Abstract We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two id...

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Main Authors: Miguel F. Paulos, Joao Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira
Format: Article
Language:English
Published: SpringerOpen 2019-12-01
Series:Journal of High Energy Physics
Subjects:
Scattering Amplitudes
Nonperturbative Effects
Space-Time Symmetries
Online Access:https://doi.org/10.1007/JHEP12(2019)040
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spelling doaj-744acfcf973d41d096031e376b64b4022020-12-06T12:07:06ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191214110.1007/JHEP12(2019)040The S-matrix bootstrap. Part III: higher dimensional amplitudesMiguel F. Paulos0Joao Penedones1Jonathan Toledo2Balt C. van Rees3Pedro Vieira4Theoretical Physics Department, CERNInstitute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL)Centre for Particle Theory, Department of Mathematical Sciences, Durham UniversityPerimeter Institute for Theoretical PhysicsAbstract We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].https://doi.org/10.1007/JHEP12(2019)040Scattering AmplitudesNonperturbative EffectsSpace-Time Symmetries
collection DOAJ
language English
format Article
sources DOAJ
author Miguel F. Paulos
Joao Penedones
Jonathan Toledo
Balt C. van Rees
Pedro Vieira
spellingShingle Miguel F. Paulos
Joao Penedones
Jonathan Toledo
Balt C. van Rees
Pedro Vieira
The S-matrix bootstrap. Part III: higher dimensional amplitudes
Journal of High Energy Physics
Scattering Amplitudes
Nonperturbative Effects
Space-Time Symmetries
author_facet Miguel F. Paulos
Joao Penedones
Jonathan Toledo
Balt C. van Rees
Pedro Vieira
author_sort Miguel F. Paulos
title The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_short The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_full The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_fullStr The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_full_unstemmed The S-matrix bootstrap. Part III: higher dimensional amplitudes
title_sort s-matrix bootstrap. part iii: higher dimensional amplitudes
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-12-01
description Abstract We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths relevant for the elastic scattering amplitude of two identical scalar particles. In the cases where our results can be compared with the older S-matrix literature they are in excellent agreement. We also extremize a cubic coupling in 2+1 dimensions which we can directly compare to a universal bound for a QFT in AdS. This paper generalizes our previous 1+1 dimensional results of [1] and [2].
topic Scattering Amplitudes
Nonperturbative Effects
Space-Time Symmetries
url https://doi.org/10.1007/JHEP12(2019)040
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