Hilbert Space of Isomorphic Representations of Bosonized Chiral \(QCD_2\)

We analyse the Hilbert space structure of the isomorphic gauge non-invariant 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 definin...

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Bibliographic Details
Published in:arXiv.org 1998-04
Main Authors: Belvedere, L V, R L P G do Amaral, Rothe, K D
Format: Article
Language:English
Subjects:
Constraint modelling
Formulations
Hilbert space
Invariants
Quantum theory
Online Access:Get full text
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Summary:We analyse the Hilbert space structure of the isomorphic gauge non-invariant 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 to 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 the only primary constraints are of first class.
ISSN:2331-8422
DOI:10.48550/arxiv.9804005