Decoupled path integral formulation of chiral QCD$_2$ with $a_{JR}=2$
R.L.P.G. Amaral, L.V. Belvedere, K.D. Rothe, F.G. Scholtz
TL;DR
This paper investigates the BRST structure of chiral QCD$_2$ at a specific Jackiw-Rajaraman parameter, revealing differences from standard QCD$_2$ and clarifying vacuum degeneracy issues.
Contribution
It provides a detailed analysis of the BRST constraints and Hilbert space structure of chiral QCD$_2$ at $a_{JR}=2$, highlighting its non-equivalence to QCD$_2$ and effects of extending to U(N).
Findings
Chiral QCD$_2$ at $a_{JR}=2$ is not equivalent to standard QCD$_2$.
The extension to U(N) does not produce infinite vacuum degeneracy.
The Hilbert space structure and BRST constraints are explicitly characterized.
Abstract
We analyse the BRST constraints and corresponding Hilbert-space structure of chiral QCD in the decoupled formulation for the case of the Jackiw-Rajaraman parameter . We show that despite formal similarities this theory is not equivalent to QCD, and that its extension to U(N) does not lead to an infinite vacuum degeneracy.
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