{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23873"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23873","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 frrst-class nature of the gauge constraints. We applied this technique in a few quantut;n 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 present 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 frrst-class nature of the gauge constraints. We applied this technique in a few quantut;n 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 present itself as a topological charge for the model. Possible generalizations are discussed."","abstract_has_math":false,"creators":["Wotzasek, Clovis Jose"],"institution":null,"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":"2011-05-12T15:20:18Z","date_published":"2011-05-12T15:20:18Z","updated_at":"2026-07-22T22:25:22Z","subjects":["Anomalous Gauge Theories (AGT)","functional integration","canonical Hamiltonian approach","Wess-Zumino term (WZT)"],"languages":["en"],"rights":["1990 Clovis Jose Wotzasek"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["3473909"],"render_values":[{"text":"3473909","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23873","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":["2011-05-12T15:20:18Z","10000-01-01","1990"]},{"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":["Anomalous Gauge Theories (AGT)","functional integration","canonical Hamiltonian approach","Wess-Zumino term (WZT)"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1990 Clovis Jose Wotzasek"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["3473909","http://hdl.handle.net/2142/23873"]}]},{"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 frrst-class nature of the gauge constraints. We applied this technique in a few quantut;n 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 present itself as a topological charge for the model. Possible generalizations are discussed.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-12T15:20:18Z No. of bitstreams: 1 1990_Wotzasek.pdf: 2032711 bytes, checksum: 7f4dd1ca3cf2194814451b58c4fbc63d (MD5)","Made available in DSpace on 2011-05-12T15:20:18Z (GMT). No. of bitstreams: 1 1990_Wotzasek.pdf: 2032711 bytes, checksum: 7f4dd1ca3cf2194814451b58c4fbc63d (MD5) Previous issue date: 1990","Restriction data tranferred 2014-07-01T11:13:08-05:00 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 2011-05-12T15:20:19Z Item is restricted indefinitely.","Thesis","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":["2011-05-12T15:20:18Z","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 frrst-class nature of the gauge constraints. We applied this technique in a few quantut;n 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 present itself as a topological charge for the model. Possible generalizations are discussed.\"","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-12T15:20:18Z No. of bitstreams: 1 1990_Wotzasek.pdf: 2032711 bytes, checksum: 7f4dd1ca3cf2194814451b58c4fbc63d (MD5)","Made available in DSpace on 2011-05-12T15:20:18Z (GMT). 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