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Universality in Two Dimensional Gauge Theory.
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abstract
We discuss two dimensional Yang -- Mills theories with massless fermions in arbitrary representations of a gauge group $G$. It is shown that the physics (spectrum and interactions) of the massive states in such models is independent of the detailed structure of the model, and only depends on the gauge group $G$ and an integer $k$ measuring the total anomaly. The massless physics, which does depend on the details of the model, decouples (almost) completely from that of the massive one. As an example, we discuss the equivalence of QCD$_2$ coupled to fermions in the adjoint, and fundamental representations.
Forward citations
Cited by 3 Pith papers
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Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
Two-dimensional adjoint QCD has mixed 't Hooft anomalies that force spontaneous chiral symmetry breaking for most N and partial deconfinement of N-ality N/2 charges for even N.
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Faddeev description of baryons in two-dimensional QCD with $N_c=3$. I. Chiral spectrum, isospin, and strangeness
A valence light-front Faddeev solution of Nc=3 QCD2 yields a massless chiral baryon, Webber’s tower, inverted Σ–Λ ordering, and protected GMO/Coleman–Glashow relations in mass squared.
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Particle-Soliton Degeneracy in 2D Quantum Chromodynamics
In gapped 2D QCD, a broken non-invertible symmetry forces particles and solitons into degenerate multiplets, encoded as quiver diagrams.
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