Fiber Bundles, Yang-Mills Theory, and General Relativity

TL;DR

This paper explores the geometric interpretation of Yang-Mills theory and compares it with general relativity, highlighting similarities and differences to deepen understanding of gauge theories in physics.

Contribution

It provides a detailed geometrical perspective on Yang-Mills theory and analyzes its relation to general relativity, offering new insights into their conceptual connections.

Findings

Geometrical interpretation of Yang-Mills theory clarified

Analogies between Yang-Mills and general relativity identified

Disanalogies and differences discussed in detail

Abstract

I articulate and discuss a geometrical interpretation of Yang-Mills theory. Analogies and disanalogies between Yang-Mills theory and general relativity are also considered.