Vacuum Persistence and Inversion of Spin Statistics in Strong QED

TL;DR

This paper explores how vacuum persistence in strong QED exhibits an inversion of spin statistics, linking it to vacuum instability and the underlying Bogoliubov relations for fermions and bosons.

Contribution

It demonstrates the exact and approximate forms of vacuum persistence as Bose-Einstein and Fermi-Dirac distributions in different electric field regimes, revealing spin statistics inversion.

Findings

Vacuum persistence follows Bose-Einstein distribution in spinor QED.

Vacuum persistence follows Fermi-Dirac distribution in scalar QED.

Inversion of spin statistics is linked to vacuum instability and Bogoliubov relations.

Abstract

The vacuum persistence can be written as the Bose-Einstein distribution in spinor QED and as the Fermi-Dirac distribution in scalar QED exactly in a constant electric field and approximately in time-varying electric fields. The inverse temperature is determined by the period of charged particle in the Euclidean time and the negative chemical potential by the ratio of the worldline instanton to the inverse temperature. The negativity of chemical potential is due to the vacuum instability under strong electric fields. The inversion of spin statistics in the vacuum persistence is a consequence of the Bogoliubov relations for fermions and bosons.