Fermionic Determinant of the Massive Schwinger Model

Abstract

A representation for the fermionic determinant of the massive Schwinger model, or $QE{D}_2$, is obtained that makes a clean separation between the Schwinger model and its massive counterpart. From this it is shown that the index theorem for $QE{D}_2$ follows from gauge invariance, that the Schwinger model's contribution to the determinant is canceled in the weak field limit, and that the determinant vanishes when the field strength is sufficiently strong to form a zero-energy bound state.

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• Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder with Broken Chiral Symmetry
• Vacuum Functional and Fermion Condensate in the Massive Schwinger Model
• General bound-state structure of the massive Schwinger model
• Fermion Determinants in Static, Inhomogeneous Magnetic Fields
• Finite Temperature Schwinger Model with Chirality Breaking Boundary Conditions
• Fermion determinant for general background gauge fields
• Sum Rules for the Dirac Spectrum of the Schwinger Model
• Scattering processes in the massive Schwinger model
• Chiral limit of the two-dimensional fermionic determinant in a general magnetic field
• Bound states for Overlap and Fixed Point Actions close to the chiral limit
• QED in strong, finite-flux magnetic fields