Static, massive fields and vacuum polarization potential in Rindler space

TL;DR

This paper derives explicit expressions for static massive fields and vacuum polarization potentials in Rindler space, providing analytical tools to understand quantum field effects near accelerated observers.

Contribution

It presents new explicit solutions for static massive fields and vacuum polarization potentials in Rindler space, including approximate forms in Fermi coordinates for weak acceleration.

Findings

Explicit special function solutions for static fields in Rindler space

Integral expressions for vacuum polarization potentials

Approximate potentials in Fermi coordinates for weak acceleration

Abstract

In Rindler space, we determine in terms of special functions the expression of the static, massive scalar or vector field generated by a point source. We find also an explicit integral expression of the induced electrostatic potential resulting from the vacuum polarization due to an electric charge at rest in the Rindler coordinates. For a weak acceleration, we give then an approximate expression in the Fermi coordinates associated with the uniformly accelerated observer.