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Induced gauge theory on a noncommutative space

2008/02/01 by Michael Wohlgenannt, M Wohlgenannt · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1088/1742-6596/103/1/012008

published as J.Phys.Conf.Ser.103:012008,2008 · 8 pages

openalex publication_date 2008/02/01 · arxiv created 2008/04/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar ø 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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