Gauge Theories on Deformed Spaces
Daniel N. Blaschke, Erwin Kronberger, Rene I.P. Sedmik, Michael, Wohlgenannt

TL;DR
This review discusses various models and approaches to non-commutative gauge theories, focusing on Groenewold-Moyal spaces and renormalizability, highlighting common features among different deformations.
Contribution
It provides an overview of existing non-commutative gauge models, emphasizing their formulation on flat Groenewold-Moyal spaces and their renormalization properties.
Findings
Focus on gauge models on Groenewold-Moyal spaces
Analysis of renormalizability in non-commutative gauge theories
Identification of common features across different deformations
Abstract
The aim of this review is to present an overview over available models and approaches to non-commutative gauge theory. Our main focus thereby is on gauge models formulated on flat Groenewold-Moyal spaces and renormalizability, but we will also review other deformations and try to point out common features. This review will by no means be complete and cover all approaches, it rather reflects a highly biased selection.
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