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
Language
eng
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.
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