Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
A gauge-invariant, symmetry-preserving truncation of JIMWLK
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...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Physics
2018
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613276115828736 |
|---|---|
| access_status_str | Open Access |
| author | Moerman, RobertWilliam |
| author2 | Weigert, Heribert |
| author_browse | Moerman, RobertWilliam Weigert, Heribert |
| author_facet | Weigert, Heribert Moerman, RobertWilliam |
| author_sort | Moerman, RobertWilliam |
| collection | Thesis |
| description | 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). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/27998 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:33.643Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2018 |
| publishDateRange | 2018 |
| publishDateSort | 2018 |
| publisher | Department of Physics |
| publisherStr | Department of Physics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/27998 A gauge-invariant, symmetry-preserving truncation of JIMWLK Moerman, RobertWilliam Weigert, Heribert Theoretical Physics 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). 2018-05-07T14:24:16Z 2018-05-07T14:24:16Z 2018 Master Thesis Masters MSc http://hdl.handle.net/11427/27998 eng application/pdf Department of Physics Faculty of Science University of Cape Town |
| spellingShingle | Theoretical Physics Moerman, RobertWilliam A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| thesis_degree_str | Master's |
| title | A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| title_full | A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| title_fullStr | A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| title_full_unstemmed | A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| title_short | A gauge-invariant, symmetry-preserving truncation of JIMWLK |
| title_sort | gauge invariant symmetry preserving truncation of jimwlk |
| topic | Theoretical Physics |
| url | http://hdl.handle.net/11427/27998 |
| work_keys_str_mv | AT moermanrobertwilliam agaugeinvariantsymmetrypreservingtruncationofjimwlk AT moermanrobertwilliam gaugeinvariantsymmetrypreservingtruncationofjimwlk |