On the problem of renormalizability in non-commutative gauge field models – a critical review

✍ Scribed by D.N. Blaschke; E. Kronberger; A. Rofner; M. Schweda; R.I.P. Sedmik; M. Wohlgenannt

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 201 KB
• Volume: 58
• Category: Article
• ISSN: 0015-8208
• DOI: 10.1002/prop.200900102

✦ Synopsis

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 ‘θ‐deformed space’ ℝ^4^~θ~. In this work we discuss some major obstacles of constructing a renormalizable non‐commutative gauge field model and sketch some possible ways out.