Quantum field theory on the degenerate Moyal space

被引：11
|
作者：
Grosse, Harald [1 ]
Vignes-Tourneret, Fabien [2 ]
机构：
[1] Univ Vienna, Fac Phys, Math Phys Grp, A-1090 Vienna, Austria
[2] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France
来源：
JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2010年 / 4卷 / 04期
关键词：
Non-commutative geometry; quantum field theory; renormalization; Moyal space; NONCOMMUTATIVE PHI(3) MODEL; RENORMALIZATION; DIMENSIONS;
D O I：
10.4171/JNCG/66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the self-interacting scalar field on the four-dimensional degenerate Moyal plane is renormalisable to all orders when adding a suitable counterterm to the Lagrangian. Despite the apparent simplicity of the model, it raises several non-trivial questions. Our result is a first step towards the definition of renormalisable quantum field theories on a non-commutative Minkowski space.
引用
收藏
页码：555 / 576
页数：22
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