Elementary Kaluza-Klein towers revisited

Considering that the momentum squared in the extra dimensions is the physically relevant quantity for the generation of the Kaluza-Klein mass states, we have reanalyzed mathematically the procedure for five dimensional scalar fields within the Arkhani-Ahmed, Dimopoulos and Dvali scenario. We find new sets of physically allowed boundary conditions. Beside the usual results, they lead to new towers with non regular mass spacing, to lonely mass states and to tachyons.

Figure 1

The KK tower masses at the intersection of $\tan (2\pi {\overline{m}}_n)$ and $2\overline{\lambda }{\overline{m}}_n/({\overline{m}}_n^2-{\overline{\lambda }}^2)$ for $\overline{\lambda }=2.63$, as functions of ${\overline{m}}_n$ (Case B1b-tw in Table )