{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25598"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25598","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Some non-perturbative results in relativistic field theory","abstract":"This thesis contains the descriptions of two new non-perturbative results in relativistic field theory. The first part of the thesis describes a transformation which can be used to relate the strong coupling limit of the (theta 4)3 quantum field theory to the weak coupling limit of the same theory. This transformation can be used to show the existence of a phase transition in the above theory as the coupling constant is increased with the mass parameter held fixed. The derivation of the transformation involves Zimmerman normal operator techniques. The second part of the thesis describes a variational calculation of the classical interactions of 't Hooft monopoles. These interactions are interesting because 't Hooft monopoles appear as instantons in the Georgi-Glashow theory of weak and electromagnetic interactions. The interactions of the instantons are directly related to the question of confinement of the fermions in this theory.","abstract_html":"This thesis contains the descriptions of two new non-perturbative results in relativistic field theory. The first part of the thesis describes a transformation which can be used to relate the strong coupling limit of the (theta 4)3 quantum field theory to the weak coupling limit of the same theory. This transformation can be used to show the existence of a phase transition in the above theory as the coupling constant is increased with the mass parameter held fixed. The derivation of the transformation involves Zimmerman normal operator techniques. The second part of the thesis describes a variational calculation of the classical interactions of 't Hooft monopoles. These interactions are interesting because 't Hooft monopoles appear as instantons in the Georgi-Glashow theory of weak and electromagnetic interactions. The interactions of the instantons are directly related to the question of confinement of the fermions in this theory.","abstract_has_math":false,"creators":["Magruder, Steven Frederick"],"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":"2011-06-30T15:40:28Z","date_published":"2011-06-30T15:40:28Z","updated_at":"2026-07-22T22:25:24Z","subjects":["relativistic field theory","non-perturbative results","strong coupling limit","quantum field theory"],"languages":["en"],"rights":["1978 Steven Frederick Magruder"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["355900"],"render_values":[{"text":"355900","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25598","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":["Magruder, Steven Frederick"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-30T15:40:28Z","10000-01-01","1978"]},{"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":["relativistic field theory","non-perturbative results","strong coupling limit","quantum field theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1978 Steven Frederick Magruder"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["355900","http://hdl.handle.net/2142/25598"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["This thesis contains the descriptions of two new non-perturbative results in relativistic field theory. The first part of the thesis describes a transformation which can be used to relate the strong coupling limit of the (theta 4)3 quantum field theory to the weak coupling limit of the same theory. This transformation can be used to show the existence of a phase transition in the above theory as the coupling constant is increased with the mass parameter held fixed. The derivation of the transformation involves Zimmerman normal operator techniques. The second part of the thesis describes a variational calculation of the classical interactions of 't Hooft monopoles. These interactions are interesting because 't Hooft monopoles appear as instantons in the Georgi-Glashow theory of weak and electromagnetic interactions. The interactions of the instantons are directly related to the question of confinement of the fermions in this theory.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-30T15:40:28Z No. of bitstreams: 1 1978_magruder.pdf: 2716589 bytes, checksum: cb52efd50a22d2db229337ce90fdcea1 (MD5)","Made available in DSpace on 2011-06-30T15:40:28Z (GMT). No. of bitstreams: 1 1978_magruder.pdf: 2716589 bytes, checksum: cb52efd50a22d2db229337ce90fdcea1 (MD5) Previous issue date: 1978","Restriction data tranferred 2014-07-01T11:32:29-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-30T15:40:28Z Item is restricted indefinitely.","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Some non-perturbative results in relativistic field theory"]}]}],"canonical_facts":{"dc:contributor":["Chang, Shau-Jin"],"dc:creator":["Magruder, Steven Frederick"],"dc:date":["2011-06-30T15:40:28Z","10000-01-01","1978"],"dc:description":["This thesis contains the descriptions of two new non-perturbative results in relativistic field theory. The first part of the thesis describes a transformation which can be used to relate the strong coupling limit of the (theta 4)3 quantum field theory to the weak coupling limit of the same theory. This transformation can be used to show the existence of a phase transition in the above theory as the coupling constant is increased with the mass parameter held fixed. The derivation of the transformation involves Zimmerman normal operator techniques. The second part of the thesis describes a variational calculation of the classical interactions of 't Hooft monopoles. These interactions are interesting because 't Hooft monopoles appear as instantons in the Georgi-Glashow theory of weak and electromagnetic interactions. The interactions of the instantons are directly related to the question of confinement of the fermions in this theory.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-30T15:40:28Z No. of bitstreams: 1 1978_magruder.pdf: 2716589 bytes, checksum: cb52efd50a22d2db229337ce90fdcea1 (MD5)","Made available in DSpace on 2011-06-30T15:40:28Z (GMT). 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