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arXiv · hep-th/0607208

Noncommutative QFT and Renormalization

Harald Grosse·Michael Wohlgenannt
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Abstract

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 $ϕ^3$ models and use the heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a $θ$-deformed space and derive noncommutative gauge field actions.

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Harald Grosse, Michael Wohlgenannt. 2006-07-26. Noncommutative QFT and Renormalization. https://doi.org/10.1088/1742-6596%2F53%2F1%2F050

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