Compactified Quantum Fields. Is there Life Beyond the Cut-off Scale?

Abstract

A consistent definition of high dimensional compactified quantum field theory without breaking the Kaluza-Klein tower is proposed. It is possible in the 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 dimensions. Possible consequences are discussed for the scalar model.

Comments: 12 pages, substantial rewrite of the previous version