Noncommutative geometry and the regularization problem of 4D quantum field theory

被引：69

作者：

Grosse, H

Strohmaier, A

机构：

[1] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria

[2] Graz Tech Univ, Inst Theoret Phys, A-8010 Graz, Austria

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1999年 / 48卷 / 02期

关键词：

regularization; noncommutative geometry; geometric quantization; CP2;

D O I：

10.1023/A:1007518622795

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a noncommutative version of the complex projective space bb CP2 and show that scalar QFT on this space is free of UV divergencies. The tools necessary to investigate quantum fields on this fuzzy bb CP2 are developed and several possibilities to introduce spinors and Dirac operators are discussed.

引用

页码：163 / 179

页数：17

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