Induced Gauge Theory on a Noncommutative Space

Autor(en)

Harald Grosse, Michael Wohlgenannt

Abstrakt

We consider a scalar $\phi^4$ theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exterior gauge field is coupled in a gauge invariant manner to the scalar field. We extract the dynamics for the gauge field from the divergent terms of the 1-loop effective action using a matrix basis and propose an action for the noncommutative gauge theory, which is a candidate for a renormalisable model.

Organisation(en)

Mathematische Physik

Journal

European Physical Journal C

Band

52

Seiten

435-450

Anzahl der Seiten

16

ISSN

1434-6044

DOI

https://doi.org/10.1140/epjc/s10052-007-0369-5

Publikationsdatum

2007

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/ba5af187-65d8-49c0-b165-5c4935950279