Noncommutative geometry and gauge theory on fuzzy sphere

被引：128

作者：

Carow-Watamura, U ^{[1
]}

Watamura, S ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Sci, Dept Phys, Aoba Ku, Sendai, Miyagi 9808577, Japan

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 212卷 / 02期

关键词：

D O I：

10.1007/s002200000213

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U(1) gauge transformation on the fuzzy sphere is identified with the left U(N + 1) transformation of the field, where a field is a bimodule over the quantized algebra AN. The interaction with a complex scalar field is also given.

引用

页码：395 / 413

页数：19

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