Spontaneous compactification and coupling constants in a geometric model for SU(2)×U(1) with gravity

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Field Theories In Dimensions Other Than Four, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

A fiber-bundle treatment for Kaluza-Klein-type geometric unification of gravitation with the bosonic sector of the standard electroweak theory was presented by Rosenbaum et al. Here we show that it admits spontaneously compactified solutions where the dimensions of the internal space are of the order of the Planck length. Furthermore, the model is able to predict a numerical value for the ratio of the SU(2) and U(1) coupling constants at the energy where both compactification and the unification of gravitational with electroweak interactions would occur, and this value is in agreement with that obtained from applying the renormalization group to the standard model.

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