BRST Cohomology and Vacuum Structure of Two-Dimensional Chromodynamics

Abstract

Using a formulation of QCD_2 as a perturbed conformally invariant theory involving fermions, ghosts, as well as positive and negative level Wess-Zumino-Witten fields, we show that the BRST conditions become restrictions on the conformally invariant sector, as described by a G/G topological theory. By solving the corresponding cohomology problem we are led to a finite set of vacua. For G=SU(2) these vacua are two-fold degenerate.

14 pages, LaTeX

References in corpus (4)

• Derivation of the Verlinde Formula from Chern-Simons Theory and the G/G model
• Physical States in G/G Models and 2d Gravity
• Integrability and duality in two-dimensional QCD
• Higher algebras and mesonic spectrum in two-dimensional QCD

Cited by in corpus (5)

• Screening in Two-dimensional QCD
• Decoupled path integral formulation of chiral QCD${}_2$ with $a_{JR}=2$
• BRST Cohomology and Hilbert Spaces of Non-Abelian Models in the Decoupled Path Integral Formulation
• Hilbert Space of Isomorphic Representations of Bosonized Chiral $QC{D}_2$
• On the physical Hilbert space of QCD${}_2$ in the decoupled formulation