Universality in Two Dimensional Gauge Theory.

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.

16 pages, harvmac

References in corpus (6)

• Nonperturbative Light-Front QCD
• String Spectrum of 1+1-Dimensional Large N QCD with Adjoint Matter
• $1+1$-Dimensional Large $N$ QCD coupled to Adjoint Fermions
• Two Dimensional QCD coupled to Adjoint Matter and String Theory
• Glueball spectrum in a (1+1)-dimensional model for QCD
• Symmetries and Mass Splittings in QCD${}_2$ Coupled to Adjoint Fermions

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