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

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

2009-08-04

arxiv.org/abs/0908.0467v2

Fortschr. Phys.58:364-372,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; v2: references added

Scientific paper

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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