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Understanding quantum anomalies
Kim, Ji Young
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https://hdl.handle.net/2142/125570
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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Graduate Dissertations and Theses at Illinois PRIMARY
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