A gauge-invariant, symmetry-preserving truncation of JIMWLK

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dc.contributor.advisorWeigert, Heriberten_ZA
dc.contributor.authorMoerman, RobertWilliamen_ZA
dc.date.accessioned2018-05-07T14:24:16Z
dc.date.available2018-05-07T14:24:16Z
dc.date.issued2018en_ZA
dc.description.abstractThe colour glass condensate captures quantum chromodynamics in its application to high-energy collider experiments in the spirit of an effective field theory. In deeply inelastic lepton-hadron scattering experiments, as well as in hadron-hadron collisions, the internal degrees of freedom of in-state hadrons are dominated by a dense medium of gluonic matter called the colour glass condensate. Interactions with this medium by some (dilute) probe are most naturally described in terms of Wilson-lines and their correlators. The energy-dependence of these correlators is given by the JIMWLK (Jalilian-Marian+Iancu+McLerran+Weigert+Leonidov+Kovner) equa- tion which, when applied to a correlator, generates an infinite tower of coupled Dyson-Schwinger- like equations referred to as a Balitsky Hierarchy. In this thesis, I present a novel method for truncating, in a gauge-invariant and symmetry- preserving manner, the Balitsky hierarchy associated with matrices of Wilson-line correlators. This truncation is realized by parameterizing the energy-dependence of the symmetric and anti- symmetric parts of these matrices independently via energy-evolution operators which evolve ini- tial conditions in a manner akin to the time-evolution of Hermitian operators in the Heisenberg picture of quantum mechanics. These energy-evolution operators are path-ordered exponentials whose exponents are expanded in terms of energy-dependent "colour structure functions". I show how the properties of contributions to the expansion of these exponents (at each order in the expansion) are constrained by the group theory of SU(Nc).en_ZA
dc.identifier.apacitationMoerman, R. (2018). <i>A gauge-invariant, symmetry-preserving truncation of JIMWLK</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Physics. Retrieved from http://hdl.handle.net/11427/27998en_ZA
dc.identifier.chicagocitationMoerman, RobertWilliam. <i>"A gauge-invariant, symmetry-preserving truncation of JIMWLK."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Physics, 2018. http://hdl.handle.net/11427/27998en_ZA
dc.identifier.citationMoerman, R. 2018. A gauge-invariant, symmetry-preserving truncation of JIMWLK. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Moerman, RobertWilliam AB - The colour glass condensate captures quantum chromodynamics in its application to high-energy collider experiments in the spirit of an effective field theory. In deeply inelastic lepton-hadron scattering experiments, as well as in hadron-hadron collisions, the internal degrees of freedom of in-state hadrons are dominated by a dense medium of gluonic matter called the colour glass condensate. Interactions with this medium by some (dilute) probe are most naturally described in terms of Wilson-lines and their correlators. The energy-dependence of these correlators is given by the JIMWLK (Jalilian-Marian+Iancu+McLerran+Weigert+Leonidov+Kovner) equa- tion which, when applied to a correlator, generates an infinite tower of coupled Dyson-Schwinger- like equations referred to as a Balitsky Hierarchy. In this thesis, I present a novel method for truncating, in a gauge-invariant and symmetry- preserving manner, the Balitsky hierarchy associated with matrices of Wilson-line correlators. This truncation is realized by parameterizing the energy-dependence of the symmetric and anti- symmetric parts of these matrices independently via energy-evolution operators which evolve ini- tial conditions in a manner akin to the time-evolution of Hermitian operators in the Heisenberg picture of quantum mechanics. These energy-evolution operators are path-ordered exponentials whose exponents are expanded in terms of energy-dependent "colour structure functions". I show how the properties of contributions to the expansion of these exponents (at each order in the expansion) are constrained by the group theory of SU(Nc). DA - 2018 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2018 T1 - A gauge-invariant, symmetry-preserving truncation of JIMWLK TI - A gauge-invariant, symmetry-preserving truncation of JIMWLK UR - http://hdl.handle.net/11427/27998 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/27998
dc.identifier.vancouvercitationMoerman R. A gauge-invariant, symmetry-preserving truncation of JIMWLK. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Physics, 2018 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/27998en_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.otherTheoretical Physicsen_ZA
dc.titleA gauge-invariant, symmetry-preserving truncation of JIMWLKen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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