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

被引：30
作者：
Blaschke, Daniel N. [1 ]
Kronberger, Erwin [1 ]
Rofner, Arnold [1 ]
Schweda, Manfred [1 ]
Sedmik, Rene I. P. [1 ]
Wohlgenannt, Michael [1 ]
机构：
[1] Vienna Univ Technol, Inst Theoret Phys, A-1040 Vienna, Austria
来源：
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2010年 / 58卷 / 4-5期
关键词：
Gauge field theory; noncommutative geometry; renormalization; YANG-MILLS THEORY; BRS COHOMOLOGY; BETA-FUNCTION; INVARIANCE; U(1); QUANTIZATION; DUALITY;
D O I：
10.1002/prop.200900102
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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' R-theta(4). In this work we discuss some major obstacles of constructing a renormalizable non-commutative gauge field model and sketch some possible ways out. (c) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：364 / 372
页数：9
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