The S-matrix Bootstrap III: Higher Dimensional Amplitudes

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 s...

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Detalles Bibliográficos
Autores principales: Paulos, Miguel F., Penedones, Joao, Toledo, Jonathan, van Rees, Balt C., Vieira, Pedro
Lenguaje:eng
Publicado: 2017
Materias:
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP12(2019)040
http://cds.cern.ch/record/2285239
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author Paulos, Miguel F.
Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro
author_facet Paulos, Miguel F.
Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro
author_sort Paulos, Miguel F.
collection CERN
description 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].
id cern-2285239
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
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spelling cern-22852392023-10-04T06:55:46Zdoi:10.1007/JHEP12(2019)040http://cds.cern.ch/record/2285239engPaulos, Miguel F.Penedones, JoaoToledo, Jonathanvan Rees, Balt C.Vieira, PedroThe S-matrix Bootstrap III: Higher Dimensional Amplitudeshep-thParticle Physics - TheoryWe 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].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 arXiv:1607.06109 and arXiv:1607.06110.arXiv:1708.06765CERN-TH-2017-162oai:cds.cern.ch:22852392017-08-22
spellingShingle hep-th
Particle Physics - Theory
Paulos, Miguel F.
Penedones, Joao
Toledo, Jonathan
van Rees, Balt C.
Vieira, Pedro
The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title_full The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title_fullStr The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title_full_unstemmed The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title_short The S-matrix Bootstrap III: Higher Dimensional Amplitudes
title_sort s-matrix bootstrap iii: higher dimensional amplitudes
topic hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP12(2019)040
http://cds.cern.ch/record/2285239
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