Please use this identifier to cite or link to this item: https://physrep.ff.bg.ac.rs/handle/123456789/208
Title: Gauge fields on noncommutative geometries with curvature
Authors: Burić, Maja 
Grosse, H.
Madore, J.
Keywords: Gauge symmetry;Non-commutative geometry;Renormalization regularization and renormalons
Issue Date: 1-Jan-2010
Journal: Journal of High Energy Physics
Abstract: 
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 U1 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.
URI: https://physrep.ff.bg.ac.rs/handle/123456789/208
ISSN: 1126-6708
DOI: 10.1007/JHEP07(2010)010
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