Abstract
Noncommutative U (1) gauge theory in four dimensions is shown to be equivalent in some scaling limit to an ordinary nonlinear sigma model in two dimensions. The model in this regime is solvable and the corresponding exact beta function is found. We also show that classical U (n) gauge theory on [Formula: see text] can be approximated by a sequence of ordinary (d-2)-dimensional Georgi–Glashow models with gauge groups U (n(L+1)), where L+1 is the matrix size of the regularized noncommutative plane [Formula: see text].
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