Understanding quantum anomalies

Kim, Ji Young

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

Description

Title

Understanding quantum anomalies

Author(s)

Kim, Ji Young

Issue Date

2024-07-11

Director of Research (if dissertation) or Advisor (if thesis)

Stone, Michael

Doctoral Committee Chair(s)

Bradlyn, Barry

Committee Member(s)

• Cooper, Lance
• Kim, Sangjin

Department of Study

Physics

Discipline

Physics

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

Ph.D.

Degree Level

Dissertation

Keyword(s)

• 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

Abstract

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.

Graduation Semester

2024-08

Type of Resource

Thesis

Handle URL

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

Copyright and License Information

© 2024 Ji Young Kim. All rights reserved.

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