Fermion in the Nonabelian Gauge Field Theory in 2+1 Dimensions

Abstract

The massive SU(2) gauge field theory coupled with fermions is considered in 2+1 dimensions. Quark energy spectrum and radiative shift in constant external nonabelian field, being exact solution of the gauge field equations with the Chern-Simons term, are calculated. Under the condition m = θ/4 the quark state is shown to be supersymmetric.

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