Noncommutative QFT and Renormalization

Details Noncommutative QFT and Renormalization Noncommutative QFT and Renormalization

2006-07-26

arxiv.org/abs/hep-th/0607208v1

J.Phys.Conf.Ser.53:764-792,2006

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the proceedings of the Workshop "Noncommutative Geometry in Field and String Theory", Corfu, 2005 (Greece)

Scientific paper

10.1088/1742-6596/53/1/050

Field theories on deformed spaces suffer from the IR/UV mixing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this disease by adding one more marginal operator. We review these ideas, show the application to $\phi^3$ models and use the heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a $\theta$-deformed space and derive noncommutative gauge field actions.

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