Path Group in gauge theory and gravity
Abstract
Description
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.
15 pages LATEX, 5 figures. Reported at the XXIV International Colloquium on Group Theoretical Methods in Physics(ICGTMP-2002 or Group 24), Paris, July 15-20, 2002
15 pages LATEX, 5 figures. Reported at the XXIV International Colloquium on Group Theoretical Methods in Physics(ICGTMP-2002 or Group 24), Paris, July 15-20, 2002