Nonrenormalization Theorem for Gauge Coupling in 2+1D

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, LaTeX file, CALT-68-1913

Scientific paper

We prove that $\be$-function of the gauge coupling in $2+1D$ gauge theory
coupled to any renormalizable system of spinor and scalar fields is zero. This
result holds both when the gauge field action is the Chern-Simons action and
when it is the topologically massive action.

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