Hilbert space of isomorphic representations of bosonized chiral QCD(2)

Citation
Lv. Belvedere et al., Hilbert space of isomorphic representations of bosonized chiral QCD(2), INT J MOD P, 14(8), 1999, pp. 1163-1176
Citations number
23
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
14
Issue
8
Year of publication
1999
Pages
1163 - 1176
Database
ISI
SICI code
0217-751X(19990330)14:8<1163:HSOIRO>2.0.ZU;2-A
Abstract
We analyze the Hilbert space structure of the isomorphic gauge noninvariant and gauge-invariant bosonized formulations of chiral QCD, for the particul ar case of the Jackiw-Rajaraman parameter a = 2. The BRST subsidiary condit ions are found not to provide a sufficient criterium for defining physical states in the Hilbert space and additional superselection rules must be tak en into account. We examine the effect of the use of a redundant field alge bra in deriving basic properties of the model. We also discuss the constrai nt structure of the gauge-invariant formulation and show that there are onl y primary constraints, and they are first-class.