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Induced Gauge Theory on a Noncommutative Space

Harald Grosse·Michael Wohlgenannt
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Abstract

We consider a scalar $ϕ^4$ 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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Harald Grosse, Michael Wohlgenannt. 2007-08-01. Induced Gauge Theory on a Noncommutative Space. https://doi.org/10.1140/epjc%2Fs10052-007-0369-5

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