{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22291"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22291","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Quantization of anomalous gauge theories","abstract":"\"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of the restoration of the first-class nature of the gauge constraints. We applied this technique in a few quantum field theories like the chiral Schwinger model, chiral bosons and massive electrodynamics. This construction of the WZT is intended to contrast with the one derived by functional methods with the use of the Faddeev-Popov trick. To shed some light into the physical significance of the WZ field we discuss a simple quantum mechanical model, the \"\"amputated planar rotor\"\". In this context the WZ field presents itself as a topological charge for the model. Possible generalizations are discussed.\"","abstract_html":""We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of the restoration of the first-class nature of the gauge constraints. We applied this technique in a few quantum field theories like the chiral Schwinger model, chiral bosons and massive electrodynamics. This construction of the WZT is intended to contrast with the one derived by functional methods with the use of the Faddeev-Popov trick. To shed some light into the physical significance of the WZ field we discuss a simple quantum mechanical model, the ""amputated planar rotor"". In this context the WZ field presents itself as a topological charge for the model. Possible generalizations are discussed."","abstract_has_math":false,"creators":["Wotzasek, Clovis Jose"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Kogut, John B."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:35:11Z","date_published":"2011-05-07T13:35:11Z","updated_at":"2026-07-22T22:25:19Z","subjects":["Mathematics","Physics, Elementary Particles and High Energy"],"languages":["eng"],"rights":["Copyright 1990 Wotzasek, Clovis Jose"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114469","(UMI)AAI9114469"],"render_values":[{"text":"AAI9114469","href":null,"code":true},{"text":"(UMI)AAI9114469","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/22291","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kogut, John B."]},{"key":"dc:creator","label":"Author","values":["Wotzasek, Clovis Jose"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:35:11Z","10000-01-01","1990"]},{"key":"dc:type","label":"Dc Type","values":["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."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Physics, Elementary Particles and High Energy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1990 Wotzasek, Clovis Jose"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114469","(UMI)AAI9114469","http://hdl.handle.net/2142/22291"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of the restoration of the first-class nature of the gauge constraints. We applied this technique in a few quantum field theories like the chiral Schwinger model, chiral bosons and massive electrodynamics. This construction of the WZT is intended to contrast with the one derived by functional methods with the use of the Faddeev-Popov trick. To shed some light into the physical significance of the WZ field we discuss a simple quantum mechanical model, the \"\"amputated planar rotor\"\". In this context the WZ field presents itself as a topological charge for the model. Possible generalizations are discussed.\"","Made available in DSpace on 2011-05-07T13:35:11Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9114469.pdf: 3841155 bytes, checksum: b21ca29453c4ad225702b0a3824ff67d (MD5) Previous issue date: 1990","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:56:37Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:26:29-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Quantization of anomalous gauge theories"]}]}],"canonical_facts":{"dc:contributor":["Kogut, John B."],"dc:creator":["Wotzasek, Clovis Jose"],"dc:date":["2011-05-07T13:35:11Z","10000-01-01","1990"],"dc:description":["\"We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The Wess-Zumino term (WZT), which repairs gauge symmetry in AGT is discussed and its derivation is presented in the canonical approach as a consequence of the restoration of the first-class nature of the gauge constraints. We applied this technique in a few quantum field theories like the chiral Schwinger model, chiral bosons and massive electrodynamics. This construction of the WZT is intended to contrast with the one derived by functional methods with the use of the Faddeev-Popov trick. To shed some light into the physical significance of the WZ field we discuss a simple quantum mechanical model, the \"\"amputated planar rotor\"\". In this context the WZ field presents itself as a topological charge for the model. Possible generalizations are discussed.\"","Made available in DSpace on 2011-05-07T13:35:11Z (GMT). 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