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...

Full description

Bibliographic Details
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
Description
Summary: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].
ISSN:1029-8479

Similar Items