Gerald Dunne -- Current Research Interests

• Gauge theories such as QED (quantum electrodynamics) and QCD (quantum chromodynamics).
• Chern-Simons gauge theories.
• Finite temperature field theory.
• Effective actions in gauge theories.
• Self-duality in planar (2+1-dimensional) gauge theories.
• Computational methods in quantum field theory and quantum mechanics.

Chern-Simons Theories

• Les Houches Lectures on Chern Simons theories
• Finite temperature Chern-Simons coefficient
• Solitons and vortices in self-dual Chern-Simons systems
• Integer quantization of Chern-Simons coefficient with spontaneous symmetry breaking

Finite Temperature Field Theory

• Nontopological finite temperature induced fermion number
• Finite temperature Chern-Simons coefficient
• Finite temperature perturbation theory and large gauge invariance
• Finite temperature effective actions

Planar Gauge Theories

• Fundamental Matter and the Deconfining Phase Transition in 2+1 D
• Deconfining phase transition in 2+1 Georgi-Glashow model
• Magnetic symmetries and vortices in Chern-Simons theories
• Inhomogeneous induced condensates in planar gauge theories

Effective Actions

• Two loop QED effective actions: helicity amplitudes and Borel properties
• Two loop Euler-Heisenberg pair production rate
• Borel summation of QED effective action and divergence of the derivative expansion
• Exact QED effective action in a spatially inhomogeneous magnetic background
• Exact QED_3 effective action in an inhomogeneous magnetic background

Lam'e Instantons

• Lam'e model: precise analytic test of the instanton approximation

Quasi-Exactly Solvable Models

• Duality and Self-Duality of Quasi-Exactly Solvable Periodic Potentials
• Algebraic methods in QES systems
• Semiclassical (WKB) approach to QES models