The gluon self-energy in cavity quantum chromodynamics

 

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dc.contributor.advisor Viollier, Raoul D en_ZA
dc.contributor.author Schreiber, Gunhild Ursula en_ZA
dc.date.accessioned 2016-02-29T12:08:29Z
dc.date.available 2016-02-29T12:08:29Z
dc.date.issued 1991 en_ZA
dc.identifier.citation Schreiber, G. 1991. The gluon self-energy in cavity quantum chromodynamics. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/17391
dc.description Bibliography: p. 78-79. en_ZA
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Physics en_ZA
dc.title The gluon self-energy in cavity quantum chromodynamics en_ZA
dc.type Doctoral Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Physics en_ZA
dc.type.qualificationlevel Doctoral
dc.type.qualificationname PhD en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Schreiber, 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/11427/17391 en_ZA
dc.identifier.chicagocitation Schreiber, 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/11427/17391 en_ZA
dc.identifier.vancouvercitation Schreiber 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/11427/17391 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


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