Asymptotic behavior of Lorentz violation on orbifolds

TL;DR

This paper investigates how Lorentz violation in higher-dimensional electrodynamics on orbifolds affects quantum corrections, revealing that Lorentz violation persists at high energies and that gauge invariance can supersede Lorentz invariance.

Contribution

It demonstrates that Lorentz violation effects do not decouple at high energies and uncovers a higher-dimensional Ward identity, suggesting gauge invariance may be more fundamental.

Findings

Lorentz violation persists at high energy scales.

A higher-dimensional Ward identity is satisfied.

Gauge invariance may be more fundamental than Lorentz invariance.

Abstract

Momentum dependence of quantum corrections with higher-dimensional Lorentz violation is examined in electrodynamics on orbifolds. It is shown that effects of the Lorentz violation are not decoupled at high energy scales. Despite the loss of the higher-dimensional Lorentz invariance, a higher-dimensional Ward identity is found to be fulfilled for one-loop vacuum polarization. This implies that gauge invariance may be prior to Lorentz invariance as a guiding principle in higher-dimensional field theory. As a universal application of electrodynamics, an extra-dimensional aspect for Furry's theorem is emphasized.