Teleparallel equivalent of non-Abelian Kaluza-Klein theory
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2002-01-01
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Barbosa, A. L. [UNESP]
Guillen, L. C.T. [UNESP]
Pereira, J. G. [UNESP]
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Based on the equivalence between a gauge theory for the translation group and general relativity, a teleparallel version of the non-Abelian Kaluza-Klein theory is constructed. In this theory, only the fiber-space turns out to be higher dimensional, spacetime being kept always four dimensional. The resulting model is a gauge theory that unifies, in the Kaluza-Klein sense, gravitational and gauge fields. In contrast with the ordinary Kaluza-Klein models, this theory defines a natural length scale for the compact submanifold of the fiber space, which is shown to be of the order of the Planck length. © 2002 The American Physical Society.
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Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 66, n. 6, 2002.