DIFFERENTIAL GEOMETRY FROM QUANTUM FIELD THEORY

被引：2

作者：

Chen, W. F. ^{[1
]}

机构：

[1] Nipissing Univ, Dept Math, North Bay, ON P1B 8L7, Canada

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Instanton moduli space; fiber bundle; gauge field; chiral anomaly; supersymmetry; descendant equations; electric-magnetic duality; ATIYAH-SINGER INDEX; GAUGE-THEORIES; MAGNETIC MONOPOLES; CONFORMAL PROPERTIES; SUPERSYMMETRY; COHOMOLOGY; ANOMALIES; CONSTRUCTION; 3-COCYCLE; STABILITY;

D O I：

10.1142/S0219887813500035

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review the historical development and physical ideas of topological Yang-Mills theory and explain how quantum field theory, a physical framework describing subatomic physics, can be used as a tool to study differential geometry. We further emphasize that this phenomenon demonstrates that the inter-relation between theoretical physics and mathematics have come into a new stage.

引用

页数：32

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