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arXiv · 0908.0467

On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review

Daniel N. Blaschke·Erwin Kronberger·Arnold Rofner·Manfred Schweda·Rene I. P. Sedmik·Michael Wohlgenannt
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Abstract

When considering quantum field theories on non-commutative spaces one inevitably encounters the infamous UV/IR mixing problem. So far, only very few renormalizable models exist and all of them describe non-commutative scalar field theories on four-dimensional Euclidean Groenewold-Moyal deformed space, also known as `theta-deformed space'. In this work we discuss some major obstacles of constructing a renormalizable non-commutative gauge field model and sketch some possible ways out.

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Daniel N. Blaschke, Erwin Kronberger, Arnold Rofner, Manfred Schweda, Rene I. P. Sedmik, Michael Wohlgenannt. 2009-08-12. On the Problem of Renormalizability in Non-Commutative Gauge Field Models - A Critical Review. https://doi.org/10.1002/prop.200900102

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