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Path Group in gauge theory and gravity

Michael B. Mensky
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Abstract

Applications of the Path Group (consisting of classes of continuous curves in Minkowski space-time) to gauge theory and gravity are reviewed. Covariant derivatives are interpreted as generators of an induced representation of Path Group. Non-Abelian generalization of Stokes theorem is naturally formulated and proved in terms of paths. Quantum analogue of Equivalence Principle is formulated in terms of Path Group and Feynman path integrals.

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Michael B. Mensky. 2002-12-25. Path Group in gauge theory and gravity. https://arxiv.org/abs/gr-qc/0212102

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