Kaluza-Klein Method in Theory of Rotating Quantum Fields

TL;DR

This paper introduces a Kaluza-Klein approach to analyze rotating quantum fields, simplifying calculations and deriving new results like the high-temperature free energy form, with applications to rotating black holes.

Contribution

It applies the Kaluza-Klein method to rotating quantum fields, providing a novel way to simplify computations and obtain new theoretical results.

Findings

Derived the functional form of free energy at high temperatures.

Linked gauge connections in rotating frames to Kaluza-Klein models.

Discussed applications to quantum fields near rotating black holes.

Abstract

Quantum fields on a stationary space-time in a rotating Killing reference frame are considered. Finding solutions of wave equations in this frame is reduced to a fiducial problem on a static background. The rotation results in a gauge connection in a way similar to appearance of gauge fields in Kaluza-Klein models. Such a Kaluza-Klein method in theory of rotating quantum fields enables one to simplify computations and get a number of new results similar to those established for static backgrounds. In particular, we find with its help functional form of free energy at high temperatures. Applications of these results to quantum fields near rotating black holes are briefly discussed.