Canonical quantization of gauge fields in static space-times with applications to Rindler spaces

TL;DR

This paper develops a canonical quantization framework for gauge fields in static space-times, explicitly solves the Gauss law constraint, and applies it to Rindler spaces to analyze phenomena like bremsstrahlung and photon condensates.

Contribution

It introduces a non-perturbative canonical quantization method for gauge fields in static backgrounds and applies it to Rindler spaces, linking Minkowski and Rindler operators.

Findings

Explicit solutions for gauge fields in Rindler space

Relation between Minkowski and Rindler creation/annihilation operators

Computed photon condensate and interaction energies in Rindler space

Abstract

The canonical quantization in Weyl gauge of gauge fields in static space-times is presented. With an appropriate definition of transverse and longitudinal components of gauge fields, the Gauss law constraint is resolved explicitly for scalar and spinor QED and a complete non-perturbative solution is given for the quantized Maxwell-field coupled to external currents. The formalism is applied in investigations of the electromagnetic field in Rindler spaces. The relation of creation and annihilation operators in Minkowski and Rindler spaces is established and initial value problems associated with bremsstrahlung of a uniformly accelerated charge are studied. The peculiar scaling properties of scalar and gauge theories in Rindler spaces are discussed and various quantities such as the photon condensate or the interaction energy of static charges and of scalar sources are computed.