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.
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页数：32
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