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The vacuum Regge Trajectory in conventional field theory

Citation

Dolen, Richard (1966) The vacuum Regge Trajectory in conventional field theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2HN6-GC43. https://resolver.caltech.edu/CaltechTHESIS:09102015-151217460

Abstract

The effect on the scattering amplitude of the existence of a pole in the angular momentum plane near J = 1 in the channel with the quantum numbers of the vacuum is calculated. This is then compared with a fourth order calculation of the scattering of neutral vector mesons from a fermion pair field in the limit of large momentum transfer. The presence of the third double spectral function in the perturbation amplitude complicates the identification of pole trajectory parameters, and the limitations of previous methods of treating this are discussed. A gauge invariant scheme for extracting the contribution of the vacuum trajectory is presented which gives agreement with unitarity predictions, but further calculations must be done to determine the position and slope of the trajectory at s = 0. The residual portion of the amplitude is compared with the Gribov singularity.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Physics
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Gell-Mann, Murray
Thesis Committee:
  • Unknown, Unknown
Defense Date:28 September 1965
Funders:
Funding AgencyGrant Number
General Electric Educational and Charitable FundUNSPECIFIED
CaltechUNSPECIFIED
Atomic Energy CommissionUNSPECIFIED
U. S. Air ForceUNSPECIFIED
Record Number:CaltechTHESIS:09102015-151217460
Persistent URL:https://resolver.caltech.edu/CaltechTHESIS:09102015-151217460
DOI:10.7907/2HN6-GC43
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9146
Collection:CaltechTHESIS
Deposited By: Leslie Granillo
Deposited On:11 Sep 2015 14:06
Last Modified:21 Dec 2019 02:18

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