Induced Gauge Theory on a Noncommutative Space

Details Induced Gauge Theory on a Noncommutative Space Induced Gauge Theory on a Noncommutative Space

2008-04-08

arxiv.org/abs/0804.1259v1

J.Phys.Conf.Ser.103:012008,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1088/1742-6596/103/1/012008

We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar $\phi^4$ model with an additional oscillator potential. This model is known to be re normalisable. Furthermore, we couple an exterior gauge field to the scalar field and extract the dynamics for the gauge field from the divergent terms of the 1-loop effective action using a matrix basis. This results in proposing an action for noncommutative gauge theory, which is a candidate for a renormalisable model.

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