{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/125570"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/125570","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Understanding quantum anomalies","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms","abstract_has_math":false,"creators":["Kim, Ji Young"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stone, Michael","Bradlyn, Barry","Cooper, Lance","Kim, Sangjin"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2024,"date_issued":"2024-07-11","date_published":"2024-07-11","updated_at":"2026-07-22T22:25:02Z","subjects":["Quantum Anomalies","Symmetry Breaking","Classical Theories","Quantum Gauge Anomalies","Adiabatic Expansion","Quantum Harmonic Oscillator","Massive Systems","Gravitational Effect","Curved Spacetime","Chiral Vortical Effect","Anomaly Coefficients","Fermi Function","Quantum Field Theory","Gauge And Gravity","Mixed Anomalies"],"languages":["en","eng"],"rights":["© 2024 Ji Young Kim. 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All rights reserved."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/125570"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms","The student, Ji Young Kim, accepted the attached license on 2024-07-05 at 11:33.","The student, Ji Young Kim, submitted this Dissertation for approval on 2024-07-05 at 11:34.","This Dissertation was approved for publication on 2024-07-11 at 13:05.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20956 on 2025-02-04 at 21:04:16","Quantum anomalies are manifestations of symmetry breaking of classical theories. The focus is on understanding quantum gauge anomalies in different dimensions, including 1+1, 2+1, and 3+1 dimensions. Investigations into anomalies in massive systems are carried out using the adiabatic expansion of the quantum harmonic oscillator. Furthermore, the gravitational effect of anomalies in 3+1 dimensions is studied by developing a curved spacetime. The chiral vortical effect in 3+1 dimensional anomalies is examined through the relationship between the anomaly coefficients and integer moments of the Fermi function."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Understanding quantum anomalies"]}]}],"canonical_facts":{"dc:contributor":["Stone, Michael","Bradlyn, Barry","Cooper, Lance","Kim, Sangjin"],"dc:creator":["Kim, Ji Young"],"dc:date":["2024-07-11","2024-08"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms","The student, Ji Young Kim, accepted the attached license on 2024-07-05 at 11:33.","The student, Ji Young Kim, submitted this Dissertation for approval on 2024-07-05 at 11:34.","This Dissertation was approved for publication on 2024-07-11 at 13:05.","DSpace SAF Submission Ingestion Package generated from Vireo submission #20956 on 2025-02-04 at 21:04:16","Quantum anomalies are manifestations of symmetry breaking of classical theories. The focus is on understanding quantum gauge anomalies in different dimensions, including 1+1, 2+1, and 3+1 dimensions. Investigations into anomalies in massive systems are carried out using the adiabatic expansion of the quantum harmonic oscillator. Furthermore, the gravitational effect of anomalies in 3+1 dimensions is studied by developing a curved spacetime. The chiral vortical effect in 3+1 dimensional anomalies is examined through the relationship between the anomaly coefficients and integer moments of the Fermi function."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/125570"],"dc:language":["en","eng"],"dc:rights":["© 2024 Ji Young Kim. All rights reserved."],"dc:subject":["Quantum Anomalies","Symmetry Breaking","Classical Theories","Quantum Gauge Anomalies","Adiabatic Expansion","Quantum Harmonic Oscillator","Massive Systems","Gravitational Effect","Curved Spacetime","Chiral Vortical Effect","Anomaly Coefficients","Fermi Function","Quantum Field Theory","Gauge And Gravity","Mixed Anomalies"],"dc:title":["Understanding quantum anomalies"],"dc:type":["text","Thesis"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:02Z"}