Pair creation by homogeneous electric field from the point of view of an accelerated observer

TL;DR

This paper investigates how a homogeneous electric field creates particle pairs and shows that an accelerated observer perceives the same particle spectrum as an inertial observer, highlighting boost symmetry in the process.

Contribution

It introduces boost-symmetric solutions for the Klein-Gordon equation in an electric field and compares particle creation spectra for accelerated and inertial observers.

Findings

The particle spectrum is identical for accelerated and inertial observers.

Boost symmetry simplifies the analysis of pair creation in electric fields.

The total number of pairs created is invariant under observer acceleration.

Abstract

With a special choice of gauge the operator of the Klein-Fock-Gordon equation in homogeneous electric field respects boost symmetry. Using this symmetry we obtain solutions for the scalar massive field equation in such a background (boost modes in the electric field). We calculate the spectrum of particles created by the electric field, as seen by an accelerated observer at spatial infinity of the right wedge of Minkowski spacetime. It is shown that the spectrum and the total number of created pairs measured by a remote uniformly accelerated observer in Minkowski spacetime are precisely the same as for inertial observers.