HILBERT SPACE OF ISOMORPHIC REPRESENTATIONS OF BOSONIZED CHIRAL QCD2

Abstract

We analyze the Hilbert space structure of the isomorphic gauge noninvariant and gauge-invariant bosonized formulations of chiral QCD 2 for the particular case of the Jackiw–Rajaraman parameter a=2. The BRST subsidiary conditions are found not to provide a sufficient criterium for defining physical states in the Hilbert space and additional superselection rules must be taken into account. We examine the effect of the use of a redundant field algebra in deriving basic properties of the model. We also discuss the constraint structure of the gauge-invariant formulation and show that there are only primary constraints, and they are first-class.