{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25650"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25650","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Some aspects of non-Abelian gauge theories","abstract":"In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We keep only the leading logarithmic terms in each order of perturbation theory. To avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. lye find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation. In the second part of the thesis, we consider fermion-fermion scattering in a non-Abelian gauge theory with massless vector bosons, and demonstrate that for physically measurable cross sections the infrared divergences,of the theory cancel out to lowest non-trivial order.","abstract_html":"In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We keep only the leading logarithmic terms in each order of perturbation theory. To avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. lye find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation. In the second part of the thesis, we consider fermion-fermion scattering in a non-Abelian gauge theory with massless vector bosons, and demonstrate that for physically measurable cross sections the infrared divergences,of the theory cancel out to lowest non-trivial order.","abstract_has_math":false,"creators":["Tyburski, Lawrence Joseph"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Chang, Shau-Jin"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-07-05T16:42:52Z","date_published":"2011-07-05T16:42:52Z","updated_at":"2026-07-22T22:25:24Z","subjects":["non-Abelian gauge theories","fermion-fermion scattering","gauge symmetry","perturbation theory"],"languages":["en"],"rights":["1976 Lawrence Joseph Tyburski"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["2445713"],"render_values":[{"text":"2445713","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25650","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Chang, Shau-Jin"]},{"key":"dc:creator","label":"Author","values":["Tyburski, Lawrence Joseph"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-07-05T16:42:52Z","10000-01-01","1976"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["non-Abelian gauge theories","fermion-fermion scattering","gauge symmetry","perturbation theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1976 Lawrence Joseph Tyburski"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/25650","2445713"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We keep only the leading logarithmic terms in each order of perturbation theory. To avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. lye find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation. In the second part of the thesis, we consider fermion-fermion scattering in a non-Abelian gauge theory with massless vector bosons, and demonstrate that for physically measurable cross sections the infrared divergences,of the theory cancel out to lowest non-trivial order.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-05T16:42:52Z No. of bitstreams: 1 1976_tyburski.pdf: 2646792 bytes, checksum: 95e01c35c54602fb004d8a3ff1d768d6 (MD5)","Made available in DSpace on 2011-07-05T16:42:52Z (GMT). No. of bitstreams: 1 1976_tyburski.pdf: 2646792 bytes, checksum: 95e01c35c54602fb004d8a3ff1d768d6 (MD5) Previous issue date: 1976","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-05T16:42:53Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:32:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Some aspects of non-Abelian gauge theories"]}]}],"canonical_facts":{"dc:contributor":["Chang, Shau-Jin"],"dc:creator":["Tyburski, Lawrence Joseph"],"dc:date":["2011-07-05T16:42:52Z","10000-01-01","1976"],"dc:description":["In this thesis we consider two aspects of the theory of non-Abelian gauge fields. In the first part,we calculate the fermion-fermion scattering amplitude for a non-Abelian gauge theory with SU(N) gauge symmetry in the limit of high energy with fixed momentum transfer through sixth order in the coupling constant. We keep only the leading logarithmic terms in each order of perturbation theory. To avoid the infrared problem, the Higgs mechanism is invoked to give masses to the vector bosons of the theory. lye find that the scattering amplitude exponentiates to a Regge form. This result is qualitatively different from an earlier published calculation. In the second part of the thesis, we consider fermion-fermion scattering in a non-Abelian gauge theory with massless vector bosons, and demonstrate that for physically measurable cross sections the infrared divergences,of the theory cancel out to lowest non-trivial order.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-05T16:42:52Z No. of bitstreams: 1 1976_tyburski.pdf: 2646792 bytes, checksum: 95e01c35c54602fb004d8a3ff1d768d6 (MD5)","Made available in DSpace on 2011-07-05T16:42:52Z (GMT). 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