Quantum Field Theory and Differential Geometry
Popular Physics
2013-04-29 v3 High Energy Physics - Theory
Mathematical Physics
Differential Geometry
math.MP
Abstract
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry. Further, we emphasize that this phenomenon demonstrates that the interrelation between physics and mathematics have come into a new stage.
Cite
@article{arxiv.0803.1340,
title = {Quantum Field Theory and Differential Geometry},
author = {W. F. Chen},
journal= {arXiv preprint arXiv:0803.1340},
year = {2013}
}
Comments
29 pages, enlarged version, some typewritten mistakes have been corrected, the geometric descrition to BRST symmetry, the chain of descent equations and its application in TYM as well as an introduction to R-symmetry have been added, as required by mathematician