2019
DOI: 10.48550/arxiv.1904.10822
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Thin homotopy and the holonomy approach to gauge theories

Claudio Meneses

Abstract: We survey several mathematical developments in the holonomy approach to gauge theory. A cornerstone of such approach is the introduction of group structures on spaces of based loops on a smooth manifold, relying on certain homotopy equivalence relations -such as the so-called thin homotopy -and the resulting interpretation of gauge fields as group homomorphisms to a Lie group G satisfying a suitable smoothness condition, encoding the holonomy of a gauge orbit of smooth connections on a principal G-bundle. We a… Show more

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