Kaluza-Klein ansatz for quadratic-curvature theory. A geometrical way to mass hierarchy

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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

Compactification of the N-dimensional gravitational action with R.R terms in a manifold which is a product of homogeneous compact spaces is considered. The total action of the resulting scalar-tensor-vector effective theory is deduced; in particular, the explicit formulas are derived for the gauge coupling constant and the third- and fourth-order noncanonical terms in the Kaluza-Klein gauge field strength. In pure curvature-squared theory ``no-scale'' double compactification provides a mass scale (m) independent of the Planck mass (G-1/2). There is a model where the physical cosmological term is of the order Gm6.

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