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.

12 pages, substantial rewrite of the previous version

References in corpus (1)

• Quantum Kaluza-Klein Compactification

Cited by in corpus (4)

• Dimensional regularization of a compact dimension
• Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional Scalar Fields
• Can effective four-dimensional scalar theory be asymptotically free in a spacetime with extra dimensions?
• A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence