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arXiv · hep-th/0405208

Noncommutative U(1) Gauge Theory As a Non-Linear Sigma Model

Badis Ydri
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Abstract

Noncommutative U(1) gauge theory in 4-dimensions is shown to be equivalent in some scaling limit to an ordinary non-linear sigma model in 2-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 {R}^{d-2}{\times}{R}^2_θ 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 {R}^2_θ.

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Badis Ydri. 2004-05-26. Noncommutative U(1) Gauge Theory As a Non-Linear Sigma Model. https://doi.org/10.1142/s0217732304015531

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