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Generalization of the dispersion relations demonstration; Generalisation de la demonstration des relations de dispersion

Abstract

A modification of the dispersion relations demonstration for two-particle collisions in field theory is indicated. The direct study of the holomorphy domain of the reaction amplitude, without any reference to a particular coordinate system, allows to demonstrate the dispersion relations with fixed pulse transfer for any input and output particle mass. Reprint of a paper published in Comptes rendus des seances de l'Academie des Sciences, t. 250, p. 1203-1205, sitting of 15 February 1960 [French] On indique une modification de la demonstration des relations de dispersion pour les collisions a deux particules en theorie des champs. En etudiant directement le domaine d'holomorphie de l'amplitude de reaction sans se referer a un systeme de coordonnees particulier, on demontre les relations de dispersion a transfert d'impulsion fixe dans le cas ou les masses des particules entrantes et sortantes sont quelconques. Reproduction d'un article publie dans les Comptes rendus des seances de l'Academie des Sciences, t. 250, p. 1203-1205, seance du 15 fevrier 1960.
Authors:
Omnes, Roland [1] 
  1. Commissariat a l'energie atomique et aux energies alternatives - CEA (France)
Publication Date:
Jul 01, 1960
Product Type:
Technical Report
Report Number:
CEA-R-1478
Resource Relation:
Other Information: 6 refs.; Available from the INIS Liaison Officer for France, see the 'INIS contacts' section of the INIS website for current contact and E-mail addresses: http://www.iaea.org/inis/Contacts/
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; COLLISIONS; COMMUTATORS; DISPERSION RELATIONS; DYSON REPRESENTATION; FIELD THEORIES; FOURIER TRANSFORMATION
OSTI ID:
22682662
Research Organizations:
Commissariat a l'energie atomique et aux energies alternatives - CEA, Centre d'Etudes Nucleaires de Saclay, Service de Documentation, BP No.2, 91190 Gif-sur-Yvette (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR1801445031314
Availability:
Available from INIS in electronic form
Submitting Site:
INIS
Size:
5 page(s)
Announcement Date:
May 04, 2018

Citation Formats

Omnes, Roland. Generalization of the dispersion relations demonstration; Generalisation de la demonstration des relations de dispersion. France: N. p., 1960. Web.
Omnes, Roland. Generalization of the dispersion relations demonstration; Generalisation de la demonstration des relations de dispersion. France.
Omnes, Roland. 1960. "Generalization of the dispersion relations demonstration; Generalisation de la demonstration des relations de dispersion." France.
@misc{etde_22682662,
title = {Generalization of the dispersion relations demonstration; Generalisation de la demonstration des relations de dispersion}
author = {Omnes, Roland}
abstractNote = {A modification of the dispersion relations demonstration for two-particle collisions in field theory is indicated. The direct study of the holomorphy domain of the reaction amplitude, without any reference to a particular coordinate system, allows to demonstrate the dispersion relations with fixed pulse transfer for any input and output particle mass. Reprint of a paper published in Comptes rendus des seances de l'Academie des Sciences, t. 250, p. 1203-1205, sitting of 15 February 1960 [French] On indique une modification de la demonstration des relations de dispersion pour les collisions a deux particules en theorie des champs. En etudiant directement le domaine d'holomorphie de l'amplitude de reaction sans se referer a un systeme de coordonnees particulier, on demontre les relations de dispersion a transfert d'impulsion fixe dans le cas ou les masses des particules entrantes et sortantes sont quelconques. Reproduction d'un article publie dans les Comptes rendus des seances de l'Academie des Sciences, t. 250, p. 1203-1205, seance du 15 fevrier 1960.}
place = {France}
year = {1960}
month = {Jul}
}