A Simple UV-Completion of QED in 5D

TL;DR

This paper introduces a Lifshitz-like 5D QED model that is UV-complete, ensuring finite gauge coupling at all energies and orders, and compares its IR properties with standard 5D QED.

Contribution

It presents a novel UV-completion of 5D QED using Lifshitz scaling, maintaining finiteness of the gauge coupling and analyzing IR behavior upon compactification.

Findings

Gauge coupling remains finite at all energy scales.

IR properties match those predicted by effective field theory.

Range of validity aligns with Naive Dimensional Analysis.

Abstract

We construct a Lifshitz-like version of five-dimensional (5D) QED which is UV - completed and reduces at low energies to ordinary 5D QED. The UV quantum behaviour of this theory is very smooth. In particular, the gauge coupling constant is finite at all energy scales and at all orders in perturbation theory. We study the IR properties of this theory, when compactified on a circle, and compare the one-loop energy dependence of the coupling in the Lifshitz theory with that coming from the standard 5D QED effective field theory. The range of validity of the 5D effective field theory is found to agree with the more conservative version of Naive Dimensional Analysis.