{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/9217"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/9217","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory","abstract":"The Abelian Kroll-Lee-Zumino theory is a renormalizable quantum field theory of charged pions and neutral rho-mesons. It provides the quantum field theory platform for the vector meson dominance model, allowing for a systematic computation of quantum corrections in perturbation theory (the ρ-π-π coupling is small enough for perturbation theory to make sense). At one-loop level, the theory makes a prediction for the electromagnetic form factor of the pion in good agreement with experiment, but there is room for improvement. This makes the theory an attractive prospect for filling the gap between chiral perturbation theory (which is valid for low-energy interactions) and perturbative QCD (which is valid at high energies). In this thesis we perform a two-loop calculation of the rho-propagator. This quantity is closely related to the pion’s electromagnetic form factor, and will allow its calculation at this order.","abstract_html":"The Abelian Kroll-Lee-Zumino theory is a renormalizable quantum field theory of charged pions and neutral rho-mesons. It provides the quantum field theory platform for the vector meson dominance model, allowing for a systematic computation of quantum corrections in perturbation theory (the ρ-π-π coupling is small enough for perturbation theory to make sense). At one-loop level, the theory makes a prediction for the electromagnetic form factor of the pion in good agreement with experiment, but there is room for improvement. This makes the theory an attractive prospect for filling the gap between chiral perturbation theory (which is valid for low-energy interactions) and perturbative QCD (which is valid at high energies). In this thesis we perform a two-loop calculation of the rho-propagator. This quantity is closely related to the pion’s electromagnetic form factor, and will allow its calculation at this order.","abstract_has_math":false,"creators":["Lushozi, Mawande"],"institution":"Department of Physics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Dominguez, Cesareo A"],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014","date_published":"2014","updated_at":"2026-07-22T22:22:55Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/9217","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Dominguez, Cesareo A"]},{"key":"dc:creator","label":"Author","values":["Lushozi, Mawande"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-11-05T03:58:45Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-11-05T03:58:45Z"]},{"key":"dc:date.issued","label":"Date","values":["2014"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Physics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Master Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Masters"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["MSc"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/9217"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Includes bibliographical references"]},{"key":"dc:description.abstract","label":"Abstract","values":["The Abelian Kroll-Lee-Zumino theory is a renormalizable quantum field theory of charged pions and neutral rho-mesons. It provides the quantum field theory platform for the vector meson dominance model, allowing for a systematic computation of quantum corrections in perturbation theory (the ρ-π-π coupling is small enough for perturbation theory to make sense). At one-loop level, the theory makes a prediction for the electromagnetic form factor of the pion in good agreement with experiment, but there is room for improvement. This makes the theory an attractive prospect for filling the gap between chiral perturbation theory (which is valid for low-energy interactions) and perturbative QCD (which is valid at high energies). In this thesis we perform a two-loop calculation of the rho-propagator. This quantity is closely related to the pion’s electromagnetic form factor, and will allow its calculation at this order."]},{"key":"dc:title","label":"Title","values":["Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory"]}]}],"canonical_facts":{"dc:contributor.advisor":["Dominguez, Cesareo A"],"dc:creator":["Lushozi, Mawande"],"dc:date.accessioned":["2014-11-05T03:58:45Z"],"dc:date.available":["2014-11-05T03:58:45Z"],"dc:date.issued":["2014"],"dc:description":["Includes bibliographical references"],"dc:description.abstract":["The Abelian Kroll-Lee-Zumino theory is a renormalizable quantum field theory of charged pions and neutral rho-mesons. It provides the quantum field theory platform for the vector meson dominance model, allowing for a systematic computation of quantum corrections in perturbation theory (the ρ-π-π coupling is small enough for perturbation theory to make sense). At one-loop level, the theory makes a prediction for the electromagnetic form factor of the pion in good agreement with experiment, but there is room for improvement. This makes the theory an attractive prospect for filling the gap between chiral perturbation theory (which is valid for low-energy interactions) and perturbative QCD (which is valid at high energies). In this thesis we perform a two-loop calculation of the rho-propagator. This quantity is closely related to the pion’s electromagnetic form factor, and will allow its calculation at this order."],"dc:identifier.uri":["http://hdl.handle.net/11427/9217"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Physics"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Two-loop corrections to the rho-propagator in the Kroll-Lee-Zumino theory"],"dc:type":["Master Thesis"],"dc:type.qualificationlevel":["Masters"],"dc:type.qualificationname":["MSc"]},"updated_at":"2026-07-22T22:22:55Z"}