A consistent definition of high dimensional compactified quantum field theo
ry without breaking the Kaluza-Klein tower is proposed. It is possible in t
he limit when the size of compact dimensions is of the order of the cut off
. This limit is nontrivial and depends on the geometry of compact dimension
s. Possible consequences are discussed for the scalar model. (C) 2000 Elsev
ier Science B.V. All rights reserved.