{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/23917"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/23917","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Line bundles and integrality conditions in quantum mechanics and quantum field theory","abstract":"A complete theory for the line bundle structure in quantum mechanics and quantum field theory is given. This includes a general method for constructing curvature terms and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its physical meanings are considered, too. Finally many physically interesting applications are given to illustrate our theory_ In particular, the local and global anomalies and other related topics including Berry's phase are discussed.","abstract_html":"A complete theory for the line bundle structure in quantum mechanics and quantum field theory is given. This includes a general method for constructing curvature terms and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its physical meanings are considered, too. Finally many physically interesting applications are given to illustrate our theory_ In particular, the local and global anomalies and other related topics including Berry's phase are discussed.","abstract_has_math":false,"creators":["Choi, Dae Gyu"],"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":"2011-05-17T16:10:42Z","date_published":"2011-05-17T16:10:42Z","updated_at":"2026-07-22T22:25:22Z","subjects":["line bundles","integrality conditions","quantum mechanics","quantum field theory","curvature terms","flat connection terms","torsion"],"languages":["en"],"rights":["1988 Dae Gyu Choi"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["1565933"],"render_values":[{"text":"1565933","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/23917","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":["Choi, Dae Gyu"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-17T16:10:42Z","10000-01-01","1988"]},{"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":["line bundles","integrality conditions","quantum mechanics","quantum field theory","curvature terms","flat connection terms","torsion"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1988 Dae Gyu Choi"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["1565933","http://hdl.handle.net/2142/23917"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["A complete theory for the line bundle structure in quantum mechanics and quantum field theory is given. This includes a general method for constructing curvature terms and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its physical meanings are considered, too. Finally many physically interesting applications are given to illustrate our theory_ In particular, the local and global anomalies and other related topics including Berry's phase are discussed.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:10:42Z No. of bitstreams: 1 1988_choi.pdf: 5861684 bytes, checksum: fe52370efa4248db19080b08042a73e9 (MD5)","Made available in DSpace on 2011-05-17T16:10:42Z (GMT). No. of bitstreams: 1 1988_choi.pdf: 5861684 bytes, checksum: fe52370efa4248db19080b08042a73e9 (MD5) Previous issue date: 1988","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:10:42Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:14:44-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Line bundles and integrality conditions in quantum mechanics and quantum field theory"]}]}],"canonical_facts":{"dc:contributor":["Kogut, John B."],"dc:creator":["Choi, Dae Gyu"],"dc:date":["2011-05-17T16:10:42Z","10000-01-01","1988"],"dc:description":["A complete theory for the line bundle structure in quantum mechanics and quantum field theory is given. This includes a general method for constructing curvature terms and flat connection terms. The necessary and sufficient condition for the existence of the integrality condition is obtained. The role of torsion parts in the first homology group of the configuration space is clarified. A possible extension to the higher dimensional vector bundle and its physical meanings are considered, too. Finally many physically interesting applications are given to illustrate our theory_ In particular, the local and global anomalies and other related topics including Berry's phase are discussed.","Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:10:42Z No. of bitstreams: 1 1988_choi.pdf: 5861684 bytes, checksum: fe52370efa4248db19080b08042a73e9 (MD5)","Made available in DSpace on 2011-05-17T16:10:42Z (GMT). No. of bitstreams: 1 1988_choi.pdf: 5861684 bytes, checksum: fe52370efa4248db19080b08042a73e9 (MD5) Previous issue date: 1988","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-05-17T16:10:42Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:14:44-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Thesis","U of I Only"],"dc:identifier":["1565933","http://hdl.handle.net/2142/23917"],"dc:language":["en"],"dc:rights":["1988 Dae Gyu Choi"],"dc:subject":["line bundles","integrality conditions","quantum mechanics","quantum field theory","curvature terms","flat connection terms","torsion"],"dc:title":["Line bundles and integrality conditions in quantum mechanics and quantum field theory"],"dc:type":["Dissertation / Thesis","text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:22Z"}