On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory

2011/04/20 by S. Fabi, Fabi, S., G. S. Karatheodoris +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1104.3970

21 pages

arxiv created 2011/04/20 · arxiv updated 2011/04/21

Abstract

In this note we demonstrate the equation of motion for test particles in an ambient gravitational field for the teleparallel theory of gravity, considered as a generalized gauge theory, using a computational scheme due to Feynman. It can be thought of as the Wong equation for a generalized gauge theory. The Wong and Lorentz equations become identical when the generators of a generalized non-abelian gauge theory are taken to be the local translation generators.

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