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Department of Physics

A quantum field theory for the interaction of pions and rhos

Abstract

dc:description.abstract

We extend the Kroll-Lee-Zumino model in its particle content to include the charged rho vector mesons and the neutral pion meson. This entailed using the larger SU(2) gauge group. The masses for the vector mesons were generated via spontaneous symmetry breaking using the Higgs mechanism. The Lagrangian was then quantized and gauge fixed using the generalized class of Rɛ gauges. Tree scattering lengths were calculated for pion-pion scattering and the values for the a₀⁰ and a₀² scattering lengths are found to be comparable with experiment. The one particle irreducible diagrams that contribute to the one loop corrections to the tree scattering lengths are renormalized.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Physics
Year dc:date.issued
2017

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Moodley, Preshin
Advisors dc:contributor.advisor
  • Dominguez, Cesareo A
  • Schilcher, Karl
  • Tupper, Gary
  • Spiesberger, Hubert

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/25433
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/25433

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Moodley, Preshin. A quantum field theory for the interaction of pions and rhos. Department of Physics, 2017. http://hdl.handle.net/11427/25433