Induced Gauge Theory on a Noncommutative Space

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

2007-03-19

arxiv.org/abs/hep-th/0703169v3

Eur.Phys.J.C52:435-450,2007

Physics

High Energy Physics

High Energy Physics - Theory

Typos corrected, one reference added; eqn. (49) corrected, one equation number added; 30 pages

Scientific paper

10.1140/epjc/s10052-007-0369-5

We consider a scalar $\phi^4$ theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exterior gauge field is coupled in a gauge invariant manner to the scalar field. We extract the dynamics for the gauge field from the divergent terms of the 1-loop effective action using a matrix basis and propose an action for the noncommutative gauge theory, which is a candidate for a renormalisable model.

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