Yang-Mills Theory on Loop Space
S. G. Rajeev
TL;DR
This paper explores mathematical ideas related to calculus on loop spaces, aiming to enhance understanding of non-abelian Yang-Mills theories through K. T. Chen's concepts.
Contribution
It introduces the application of K. T. Chen's calculus on loop spaces to the study of non-abelian Yang-Mills theories, providing new mathematical insights.
Findings
Mathematical framework for loop space calculus
Potential applications to non-abelian gauge theories
Connections between loop space calculus and Yang-Mills theory
Abstract
We will describe some mathematical ideas of K. T. Chen on calculus on loop spaces. They seem useful to understand non-abelian Yang--Mills theories.
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Taxonomy
TopicsMathematics and Applications · Algebraic and Geometric Analysis · Advanced Mathematical Theories