Path Group in gauge theory and gravity

Details Path Group in gauge theory and gravity Path Group in gauge theory and gravity

2002-12-25

arxiv.org/abs/gr-qc/0212102v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages LATEX, 5 figures. Reported at the XXIV International Colloquium on Group Theoretical Methods in Physics(ICGTMP-2002 o

Scientific paper

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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