Validity of minimal chiral schwinger model as a gauge theory

Abstract

Starting from the modified fermionic chiral theory, we derive the poisson brackets of the bosonized theory which reflect the anomalous Schwinger terms, without recourse to the bosonization technique and study the perturbative aspect of Dirac brackets. Through the chiral Schwinger Model (minimal case also) in the matter gauge, we prove the physical Hilbert space is independent of the chirality of matter field and obtain the renormalized Fermionic operator solutions.