Understanding quantum anomalies

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2024

Author dc:creator

• Kim, Ji Young

Contributors dc:contributor

• Stone, Michael
• Bradlyn, Barry
• Cooper, Lance
• Kim, Sangjin

• 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

Statement dc:rights

• © 2024 Ji Young Kim. All rights reserved.

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/125570

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F125570