Quantization of gauge theory on a curved noncommutative space

Autor(en)

Maja Buric, Milan S. Dimitrijevic, Voja Radovanovic, Michael Wohlgenannt

Abstrakt

We study quantization of a gauge analogon of the Grosse-Wulkenhaar scalar field model. We calculate divergent first-order one-loop contributions to the tadpoles and the propagators: we find that there are no UV divergences while all IR divergences are logarithmic. Divergent terms which we obtain can be included in the initial action either by a shift of the vacuum or by adding the Chern-Simons term. Our results, though partial, indicate renormalizability: they need to be complemented by calculation of the second-order divergent contributions to the propagators and vertices.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Belgrade, Observatoire Astronomique de Belgrade

Journal

Physical Review D

Band

86

Anzahl der Seiten

17

ISSN

1550-7998

DOI

https://doi.org/10.1103/PhysRevD.86.105024

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik, 103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b3b5ef07-0811-4640-bed7-1e590ab54285