Noncommutative Geometry and the Regularization Problem of 4D Quantum Field Theory

被引:0
作者
H. Grosse
A. Strohmaier
机构
[1] University of Vienna,Institute for Theoretical Physics
[2] TU-Graz,Institute for Theoretical Physics
来源
Letters in Mathematical Physics | 1999年 / 48卷
关键词
regularization; noncommutative geometry; geometric quantization; ℂℙ;
D O I
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学科分类号
摘要
We give a noncommutative version of the complex projective space ℂℙ2 and show that scalar QFT on this space is free of UV divergencies. The tools necessary to investigate quantum fields on this fuzzy ℂℙ2 are developed and several possibilities to introduce spinors and Dirac operators are discussed.
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页码:163 / 179
页数:16
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