# Vacuum instability in Kaluza-Klein manifolds

## TL;DR

This paper investigates how extra dimensions in Kaluza-Klein manifolds affect vacuum particle creation rates under a constant electric field, using spectral zeta function techniques.

## Contribution

It provides a novel analysis of particle creation in Kaluza-Klein spaces with explicit influence of extra-dimensional geometry on pair production rates.

## Key findings

- Extra dimensions modify the particle creation rate.
- Spectral zeta function formalism effectively computes vacuum instability.
- Geometric characteristics of extra dimensions influence pair production.

## Abstract

The purpose of this work in to analyze particle creation in spaces with extra dimensions. We consider, in particular, a massive scalar field propagating in a Kaluza-Klein manifold subject to a constant electric field. We compute the rate of particle creation from vacuum by using techniques rooted in the spectral zeta function formalism. The results we obtain show explicitly how the presence of the extra-dimensions and their specific geometric characteristics, influence the rate at which pairs of particles and anti-particles are generated.