Quantization of the Proca field in the Rindler wedge and the interaction of uniformly accelerated currents with massive vector bosons from the Unruh thermal bath

TL;DR

This paper quantizes the Proca field in the Rindler wedge, analyzes the interaction of accelerated currents with massive vector bosons from the Unruh bath, and confirms the equivalence with inertial observer results, with implications for black hole physics.

Contribution

It provides a canonical quantization of the Proca field in the Rindler wedge and demonstrates the equivalence of emission rates for massive vector particles between accelerated and inertial frames.

Findings

Response rate matches Minkowski vacuum emission rate

Quantization in Rindler wedge is explicitly performed

Results relate to Hawking radiation near black holes

Abstract

We canonically quantize the Proca field in the Rindler wedge and compute the total response rate of a uniformly accelerated current interacting with massive vector Rindler particles from the Unruh thermal bath. We explicitly verify that the result obtained is exactly the same as the emission rate of massive vector particles in the Minkowski vacuum as analyzed by inertial observers. Eventually our results are interpreted in terms of the interaction of static electrons coupled to $Z^0$ bosons present in Hawking radiation close to the event horizon of a black hole.