Renormalization and Induced Gauge Action on a Noncommutative Space

Details Renormalization and Induced Gauge Action on a Noncommutative Space Renormalization and Induced Gauge Action on a Noncommutative Space

2007-06-14

arxiv.org/abs/0706.2167v1

Prog.Theor.Phys.Suppl.171:161-177,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages; to appear in the proceedings of the 21st Nishinomiya-Yukawa Memorial Symposium Noncommutative geometry and quantum s

Scientific paper

10.1143/PTPS.171.161

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

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