We consider the novel Kaluza-Klein (KK) scenario where gravity propagates i
n the (4 + n)-dimensional bulk of spacetime, while gauge and matter fields
are confined to the (3 + 1)-dimensional world volume of a brane configurati
on. For simplicity we assume compactification of the extra n dimensions on
a torus with a common scale R, and identify the massive KK states in the fo
ur-dimensional spacetime. For a given KK level (n) over right arrow there i
s one spin-2 state, (n - 1) spin-1 states, and n(n - 1)/2 spin-0 states, al
l mass degenerate. We construct the effective interactions between these KK
states and ordinary matter fields (fermions, gauge bosons, and scalars). W
e find that the spin-1 states decouple and that the spin-0 states only coup
le through the dilaton mode. We then derive the interacting Lagrangian for
the KK states and standard model fields, and present the complete Feynman r
ules. We discuss some low-energy phenomenology for these new interactions f
or the case when 1/R is small compared to the electroweak scale, and the ul
traviolet cutoff of the effective KK theory is on the order of 1 TeV. [S055
6-2821(99)05408-9].