Renormalization and Induced Gauge Action on a Noncommutative Space

Autor(en)

Harald Grosse, Michael Wohlgenannt

Abstrakt

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.

Organisation(en)

Mathematische Physik

Seiten

161-177

Anzahl der Seiten

17

DOI

https://doi.org/10.1143/PTPS.171.161

Publikationsdatum

2007

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/bd125f42-4c21-4ebf-bd1a-ad34cd7c4f67