The anomalous magnetic moment of the nucleon in cavity QCD

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dc.contributor.authorO'Connor, M Sen_ZA
dc.date.accessioned2016-02-29T12:08:26Z
dc.date.available2016-02-29T12:08:26Z
dc.date.issued1991en_ZA
dc.descriptionBibliography: pages 71-72.en_ZA
dc.description.abstractPerturbative quantum chromodynamics is developed in a spherical cavity using a symmetric form of the Gell-Mann and Low theorem. This formalism allows one to generate any desired term in the perturbation series, in a manner which is similar to the familiar Feynman rules in free space. All corrections to order eg² in the electromagnetic and strong coupling constants which contribute to the magnetic moment of a baryon are generated using this formalism. The O(eg²) radiative corrections to the magnetic moment of the nucleon are calculated here in an arbitrary covariant gauge. The gauge-dependent parts are found to vanish identically, and the divergences arising from the loop diagrams cancel amongst each other, making renormalization unnecessary. However, it is shown here that one can, if it is necessary, remove the divergences from the cavity diagrams by subtracting from them a singular factor which is found using dimensional regularization in the analogous free-space diagrams.en_ZA
dc.identifier.apacitationO'Connor, M. S. (1991). <i>The anomalous magnetic moment of the nucleon in cavity QCD</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Physics. Retrieved from http://hdl.handle.net/11427/17389en_ZA
dc.identifier.chicagocitationO'Connor, M S. <i>"The anomalous magnetic moment of the nucleon in cavity QCD."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Physics, 1991. http://hdl.handle.net/11427/17389en_ZA
dc.identifier.citationO'Connor, M. 1991. The anomalous magnetic moment of the nucleon in cavity QCD. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - O'Connor, M S AB - Perturbative quantum chromodynamics is developed in a spherical cavity using a symmetric form of the Gell-Mann and Low theorem. This formalism allows one to generate any desired term in the perturbation series, in a manner which is similar to the familiar Feynman rules in free space. All corrections to order eg² in the electromagnetic and strong coupling constants which contribute to the magnetic moment of a baryon are generated using this formalism. The O(eg²) radiative corrections to the magnetic moment of the nucleon are calculated here in an arbitrary covariant gauge. The gauge-dependent parts are found to vanish identically, and the divergences arising from the loop diagrams cancel amongst each other, making renormalization unnecessary. However, it is shown here that one can, if it is necessary, remove the divergences from the cavity diagrams by subtracting from them a singular factor which is found using dimensional regularization in the analogous free-space diagrams. DA - 1991 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1991 T1 - The anomalous magnetic moment of the nucleon in cavity QCD TI - The anomalous magnetic moment of the nucleon in cavity QCD UR - http://hdl.handle.net/11427/17389 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17389
dc.identifier.vancouvercitationO'Connor MS. The anomalous magnetic moment of the nucleon in cavity QCD. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Physics, 1991 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17389en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Physicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherPhysicsen_ZA
dc.subject.otherParticle Physicsen_ZA
dc.subject.otherTheoretical Physicsen_ZA
dc.titleThe anomalous magnetic moment of the nucleon in cavity QCDen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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