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

Ydri, Badis (2004) Noncommutative U(1) Gauge Theory As a Non-Linear Sigma Model. (Preprint)

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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) × R_θ^2 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_θ^2.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	18 Jul 2018 09:09
Last Modified:	15 Dec 2022 02:24
URI:	https://dair.dias.ie/id/eprint/634

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