Induced gauge theory on a noncommutative space
Mar, 200730 pages
Published in:
- Eur.Phys.J.C 52 (2007) 435-450
e-Print:
- hep-th/0703169 [hep-th]
Report number:
- UWTHPH-2007-4
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Abstract:
We consider a scalar 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.- 11.15.-q
- 11.10.Nx
- phi**n model: 4
- field theory: Euclidean
- potential: oscillator
- space-time: deformation
- differential geometry: noncommutative
- effective action
- perturbation theory: higher-order
- gauge field theory: induced
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