Monopoles and solitons in fuzzy physics

被引：113

作者：

Baez, S ^{[1
]}

Balachandran, AP

Vaidya, S

Ydri, B

机构：

[1] Syracuse Univ, Dept Phys, Syracuse, NY 13244 USA

[2] Tata Inst Fundamental Res, Colaba 400005, Mumbai, India

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 208卷 / 03期

关键词：

D O I：

10.1007/s002200050011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Monopoles and solitons have important topological aspects like quantized fluxes, winding numbers and curved target spaces. Naive discretizations which substitute a lattice of points for the underlying manifolds are incapable of retaining these features in a precise way. We study these problems of discrete physics and matrix models and discuss mathematically coherent discretizations of monopolies and solitons using fuzzy physics and noncommutative geometry. A fuzzy sigma-model action for the two-sphere fulfilling a fuzzy Belavin-Polyakov bound is also put forth.

引用

页码：787 / 798

页数：12

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