Universality in Two Dimensional Gauge Theory.

preprint1995arXivOpen access

Abstract

We discuss two dimensional Yang -- Mills theories with massless fermions in arbitrary representations of a gauge group GG. 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 GG and an integer kk 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 QCD2_2 coupled to fermions in the adjoint, and fundamental representations.

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