Renormalization Group and Axial-Vector Current in Two-Dimensional Quantum Electrodynamics

Abstract
An exactly soluble model of the renormalization group for two-dimensional quantum electrodynamics is presented. The theory has a nontrivial eigenvalue at which it is scale-invariant and some operators acquire anomalous dimensions. The anomalous constant associated with the axial-vector current is independent of the coupling constant away from the eigenvalue, but vanishes at the eigenvalue.