2015/05/31 by Nikhil Karthik, Rajamani Narayanan
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Fermion #Mathematical physics #Mathematics #Parity (physics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Torus #cond-mat.str-el #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.92.025003
published as Phys. Rev. D 92, 025003 (2015) · 20 pages, 6 figures; version accepted for publication in Phys. Rev. D
arxiv created 2015/06/12 · openalex publication_date 2015/07/01 · arxiv updated 2015/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We use canonical formalism to study the fermion determinant in different three-dimensional Abelian gauge-field backgrounds that contain nonzero magnetic and electric flux in order to understand the nonperturbative contributions to the parity-odd and parity-even parts of the phase. We show that a certain phase associated with free fermion propagation along a closed path in a momentum torus is responsible for the parity anomaly in a background with nonzero electric flux. We consider perturbations around backgrounds with nonzero magnetic flux to understand the structure of the parity-breaking perturbative term at finite temperature and mass.