Quantum corrections in Kaluza-Klein theory

We have examined some of the one-loop quantum corrections to the five-dimensional Kaluza-Klein model, which are due to the infinite number of massive spin-2 excitations, in order to discover how the tower of levels can affect the classical results. It turns out that quantities which vanish classically, such as 〈ϕ〉 and the mass of the scalar fieldϕ, receive finite contributions which are determined by the Planck radius. On the other hand, amplitudes such asϕ-ϕ scattering which are one-loop infinite, even when massive modes are disregarded, do not have their divergences ameliorated by the inclusion of the tower. We would conclude that a higher-dimensional model should be considered seriously as a candidate for a physical, quantized theory if (at the very least) the zero-mode truncation is already renormalizable, for only then are the entrained higher modes likely to produce finite corrections.