Vacuum polarization induced by a uniformly accelerated charge

TL;DR

This paper investigates how a uniformly accelerated charge affects vacuum polarization, deriving an integral expression for the induced charge density and explicitly calculating the electrostatic potential in weak acceleration conditions.

Contribution

It provides the first explicit integral expression for vacuum polarization induced by a uniformly accelerated charge and derives the electrostatic potential in the weak acceleration limit.

Findings

Derived an integral expression for induced charge density.

Explicitly calculated electrostatic potential for weak acceleration.

Analyzed vacuum polarization effects in accelerated frames.

Abstract

We consider a point charge fixed in the Rindler coordinates which describe a uniformly accelerated frame. We determine an integral expression of the induced charge density due to the vacuum polarization at the first order in the fine structure constant. In the case where the acceleration is weak, we give explicitly the induced electrostatic potential.