The gluon self-energy in cavity quantum chromodynamics

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dc.contributor.advisorViollier, Raoul Den_ZA
dc.contributor.authorSchreiber, Gunhild Ursulaen_ZA
dc.date.accessioned2016-02-29T12:08:29Z
dc.date.available2016-02-29T12:08:29Z
dc.date.issued1991en_ZA
dc.descriptionBibliography: p. 78-79.en_ZA
dc.description.abstractA numerical technique to regularize divergent loop diagrams in cavity quantum chromodynamics is discussed, which is closely related to free space dimensional regularization. In this cavity regularization method, the energy shift is expressed as the integral of a divergent spectral function, from which the divergence may be extracted by analogy to the free space expression. It is shown for the case of the self-energy of a gluon in a cavity that no new divergences arise due to the presence of the boundary, provided that the regularization can be achieved in such a way that no subtractions are necessary. In order to avoid such subtractions, the so-called method of separation is developed, in which the spectral forms in the cavity are separated in such a way that the divergences of the various terms cancel exactly. This method is in close analogy to the free space regularization method of separation where tadpole contributions are separated off from the rest of the momentum integrals. The technique is used to evaluate the self-energy of a gluon in a cavity, which turns out to be positive for both the quark loop and the gauge loops. The positive value obtained offers a possible explanation for the absence of gluonic exotic states.en_ZA
dc.identifier.apacitationSchreiber, G. U. (1991). <i>The gluon self-energy in cavity quantum chromodynamics</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Physics. Retrieved from http://hdl.handle.net/11427/17391en_ZA
dc.identifier.chicagocitationSchreiber, Gunhild Ursula. <i>"The gluon self-energy in cavity quantum chromodynamics."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Physics, 1991. http://hdl.handle.net/11427/17391en_ZA
dc.identifier.citationSchreiber, G. 1991. The gluon self-energy in cavity quantum chromodynamics. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Schreiber, Gunhild Ursula AB - A numerical technique to regularize divergent loop diagrams in cavity quantum chromodynamics is discussed, which is closely related to free space dimensional regularization. In this cavity regularization method, the energy shift is expressed as the integral of a divergent spectral function, from which the divergence may be extracted by analogy to the free space expression. It is shown for the case of the self-energy of a gluon in a cavity that no new divergences arise due to the presence of the boundary, provided that the regularization can be achieved in such a way that no subtractions are necessary. In order to avoid such subtractions, the so-called method of separation is developed, in which the spectral forms in the cavity are separated in such a way that the divergences of the various terms cancel exactly. This method is in close analogy to the free space regularization method of separation where tadpole contributions are separated off from the rest of the momentum integrals. The technique is used to evaluate the self-energy of a gluon in a cavity, which turns out to be positive for both the quark loop and the gauge loops. The positive value obtained offers a possible explanation for the absence of gluonic exotic states. DA - 1991 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1991 T1 - The gluon self-energy in cavity quantum chromodynamics TI - The gluon self-energy in cavity quantum chromodynamics UR - http://hdl.handle.net/11427/17391 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17391
dc.identifier.vancouvercitationSchreiber GU. The gluon self-energy in cavity quantum chromodynamics. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Physics, 1991 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17391en_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.titleThe gluon self-energy in cavity quantum chromodynamicsen_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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