Vacuum instability in Kaluza–Klein manifolds

2017/06/21 by Guglielmo Fucci
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Extra dimensions #Formalism (music) #Instability #Kaluza–Klein theory #Manifold (fluid mechanics) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar field #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1751-8121/aabe9b

published as J. Phys. A: Math. Theor. 51, 215202 (2018) · 19 pages, LaTex

arxiv created 2017/06/21 · openalex publication_date 2018/04/17 · arxiv updated 2018/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Low-energy effective action in nonperturbative electrodynamics in curved space-time
• Zeta function regularization of path integrals in curved spacetime
• ANALYTIC RESULTS FOR THE EFFECTIVE ACTION
• On Gauge Invariance and Vacuum Polarization
• Momentum Signatures for Schwinger Pair Production in Short Laser Pulses with a Subcycle Structure