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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