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

TL;DR

This paper proposes a consistent way to define high-dimensional compactified quantum field theories at the cutoff scale, considering the geometry of compact dimensions, with implications for scalar models.

Contribution

It introduces a novel approach to defining compactified quantum fields at the cutoff scale without breaking the Kaluza-Klein tower, depending on the geometry.

Findings

Consistent definition of quantum fields at the cutoff scale

Dependence on the geometry of compact dimensions

Implications for scalar models

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.