Decoupled path integral formulation of chiral QCD${}_2$ with $a_{JR}=2$

Abstract

We analyse the BRST constraints and corresponding Hilbert-space structure of chiral QCD${}_2$ in the decoupled formulation for the case of the Jackiw-Rajaraman parameter $a=2$. We show that despite formal similarities this theory is not equivalent to QCD${}_2$, and that its extension to U(N) does not lead to an infinite vacuum degeneracy.

LaTeX, 22 pages

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