Gauge fields on noncommutative geometries with curvature

Autor(en)

Maja Buric, Harald Grosse, John Madore

Abstrakt

It was shown recently that the lagrangian of the Grosse-Wulkenhaar model can be written as lagrangian of the scalar field propagating in a curved noncommutative space. In this interpretation, renormalizability of the model is related to the interaction with the background curvature which introduces explicit coordinate dependence in the action. In this paper we construct the U-1 gauge field on the same noncommutative space: since covariant derivatives contain coordinates, the Yang-Mills action is again coordinate dependent. To obtain a two-dimensional model we reduce to a subspace, which results in splitting of the degrees of freedom into a gauge and a scalar. We define the gauge fixing and show the BRST invariance of the quantum action.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

University of Belgrade, Université Paris XI - Paris-Sud

Journal

Journal of High Energy Physics

Band

2010

Anzahl der Seiten

17

ISSN

1029-8479

DOI

https://doi.org/10.1007/JHEP07(2010)010

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/db54177b-3116-4ebb-8df9-f407ceb6fdcd