dc.contributor.advisor | Weigel, Herbert | en_ZA |
dc.contributor.advisor | Scholtz, Frederik G. | en_ZA |
dc.contributor.author | Takyi, Ishmael | en_ZA |
dc.contributor.other | Stellenbosch University. Faculty of Science. Dept. of Physics. | en_ZA |
dc.date.accessioned | 2019-02-18T11:55:26Z | |
dc.date.accessioned | 2019-04-17T08:27:15Z | |
dc.date.available | 2019-02-18T11:55:26Z | |
dc.date.available | 2019-04-17T08:27:15Z | |
dc.date.issued | 2019-04 | |
dc.identifier.uri | http://hdl.handle.net/10019.1/106075 | |
dc.description | Thesis (PhD)--Stellenbosch University, 2019. | en_ZA |
dc.description.abstract | ENGLISH ABSTRACT : We study nucleon structure functions (both polarized and unpolarized functions) within the
Nambu-Jona-Lasinio (NJL) model, in which the nucleons emerge as solitons. In particular
we investigate the polarized vacuum contribution to the nucleon structure functions. Rather
than copying the quark distribution interpretation from QCD, we start from a fully regularized
action functional to establish an intrinsically consistent formulation of the structure functions.
For that matter we will employ the Pauli-Villars subtraction scheme to incorporate the vacuum
polarization effects within the bosonized NJL model. Using Cutkosky’s rules the structure
functions are extracted from the imaginary part of the Compton tensor. The structure functions
are then evaluated numerically which includes a perturbative DGLAP evolution calculation
before comparing our results with empirical data. | en_ZA |
dc.description.abstract | AFRIKAANSE OPSOMMING : Ons bestudeer kern struktuurfunksies (beide gepolariseerd en ongepolariseerd) binne die NambuJona-Lasinio (NJL) model, waarin die nukleone as soliton oplossings verskyn. In besonder
ondersoek ons die gepolariseerde vakuumbydra tot die nukleon struktuurfunksies. Eerder as
om die kwark-verdeling interpretasie van KCD te gebruik, begin ons vanaf ’n volledig geregulariseerde aksiefunksionaal om ’n intern konsekwente formulering van die struktuurfunksies te
vestig. Hiervoor sal ons die Pauli-Villars-aftrekskema gebruik om die vakuumpolarisasie-effekte
binne die gebosoniseerde NJL-model in te sluit. Met behulp van Cutkosky se reëls word die
struktuurfunksies uit die imaginêre deel van die Compton tensor verkry. Die struktuurfunksies
word dan numeries geëvalueer, wat ’n steuringsteoretiese implementasie van ’n DGLAP evolusie
berekening insluit voordat ons resultate met empiriese data vergelyk word. | af_ZA |
dc.format.extent | xv, 151 : illustrations | en_ZA |
dc.language.iso | en_ZA | en_ZA |
dc.publisher | Stellenbosch : Stellenbosch University | en_ZA |
dc.subject | Deep inelastic scattering | en_ZA |
dc.subject | Structure functions | en_ZA |
dc.subject | Chiral solitons | en_ZA |
dc.subject | Vacuum polarization | en_ZA |
dc.subject | Particles (Nuclear physics) | en_ZA |
dc.subject | UCTD | en_ZA |
dc.title | Structure functions of the nucleon in a soliton model | en_ZA |
dc.type | Thesis | en_ZA |
dc.rights.holder | Stellenbosch University | en_ZA |