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arXiv · 0706.2167

Renormalization and Induced Gauge Action on a Noncommutative Space

Harald Grosse·Michael Wohlgenannt
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Abstract

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

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Harald Grosse, Michael Wohlgenannt. 2007-06-14. Renormalization and Induced Gauge Action on a Noncommutative Space. https://doi.org/10.1143/ptps.171.161

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