Recently, Randall and Sundrum proposed a solution to the hierarchy problem
when the background space time is five dimensional. There are two 3-branes,
and the mass scale for fields that propagate on one of the 3-branes is exp
onentially suppressed relative to the fundamental scale of the theory, whic
h is taken to be the Planck mass M-Pl. In this Brief Report we show that bu
lk fields with a five dimensional mass term of order M-Pl have, after integ
rating over the extra dimension, modes with four-dimensional masses that ar
e exponentially suppressed as well. This opens the possibility that in this
scenario the standard model matter fields may correspond to degrees of fre
edom that are not confined to a 3-brane. [S0556-2821(99)00822-X].