A rigorous lower bound on the scattering amplitude at large angle

We prove a lower bound for the modulus of the amplitude for a two-body process at large scattering angles. This is based on the interplay of the analyticity of the amplitude and the positivity properties of its absorptive part. The assumptions are minimal, namely, those of local quantum field theory...

Descripción completa

Detalles Bibliográficos
Autores principales: Epstein, Henri, Martin, André
Lenguaje:eng
Publicado: 2019
Materias:
math.MP
Mathematical Physics and Mathematics
math-ph
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.99.114025
http://cds.cern.ch/record/2667526
_version_ 1780962070920953856
author Epstein, Henri
Martin, André
author_facet Epstein, Henri
Martin, André
author_sort Epstein, Henri
collection CERN
description We prove a lower bound for the modulus of the amplitude for a two-body process at large scattering angles. This is based on the interplay of the analyticity of the amplitude and the positivity properties of its absorptive part. The assumptions are minimal, namely, those of local quantum field theory (in the case when dispersion relations hold). In the Appendix A, lower bounds for the forward particle-particle and particle-antiparticle amplitudes are obtained. This is of independent interest.
id cern-2667526
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
record_format invenio
spelling cern-26675262023-10-04T05:58:11Zdoi:10.1103/PhysRevD.99.114025http://cds.cern.ch/record/2667526engEpstein, HenriMartin, AndréA rigorous lower bound on the scattering amplitude at large anglemath.MPMathematical Physics and Mathematicsmath-phMathematical Physics and Mathematicshep-thParticle Physics - TheoryWe prove a lower bound for the modulus of the amplitude for a two-body process at large scattering angles. This is based on the interplay of the analyticity of the amplitude and the positivity properties of its absorptive part. The assumptions are minimal, namely, those of local quantum field theory (in the case when dispersion relations hold). In the Appendix A, lower bounds for the forward particle-particle and particle-antiparticle amplitudes are obtained. This is of independent interest.We prove a lower bound for the modulus of the amplitude for a two-body process at large scattering angle. This is based on the interplay of the analyticity of the amplitude and the positivity properties of its absorptive part. The assumptions are minimal, namely those of local quantum field theory (in the case when dispersion relations hold). In Appendix A, lower bounds for the forward particle-particle and particle-antiparticle amplitudes are obtained. This is of independent interest.arXiv:1903.00953oai:cds.cern.ch:26675262019-03-03
spellingShingle math.MP
Mathematical Physics and Mathematics
math-ph
Mathematical Physics and Mathematics
hep-th
Particle Physics - Theory
Epstein, Henri
Martin, André
A rigorous lower bound on the scattering amplitude at large angle
title A rigorous lower bound on the scattering amplitude at large angle
title_full A rigorous lower bound on the scattering amplitude at large angle
title_fullStr A rigorous lower bound on the scattering amplitude at large angle
title_full_unstemmed A rigorous lower bound on the scattering amplitude at large angle
title_short A rigorous lower bound on the scattering amplitude at large angle
title_sort rigorous lower bound on the scattering amplitude at large angle
topic math.MP
Mathematical Physics and Mathematics
math-ph
Mathematical Physics and Mathematics
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.99.114025
http://cds.cern.ch/record/2667526
work_keys_str_mv AT epsteinhenri arigorouslowerboundonthescatteringamplitudeatlargeangle
AT martinandre arigorouslowerboundonthescatteringamplitudeatlargeangle
AT epsteinhenri rigorouslowerboundonthescatteringamplitudeatlargeangle
AT martinandre rigorouslowerboundonthescatteringamplitudeatlargeangle

Ejemplares similares