Quantum fields in the background spacetime of a loop quantum gravity black hole

TL;DR

This paper investigates quantum field behavior in a loop quantum gravity black hole background using an effective metric, providing explicit calculations for particle cross sections and generalizing equations for broader applications.

Contribution

It introduces a minisuperspace approach with polymerization to model loop quantum gravity black holes and generalizes the Teukolsky-Chandrasekhar procedure for fermionic equations.

Findings

Explicit cross sections for scalar particles and fermions are calculated.

The fermionic radial equation is generalized for wider applicability.

The effective metric approach offers new insights into quantum fields in quantum gravity backgrounds.

Abstract

The description of black holes in loop quantum gravity is a hard and tricky task. In this article, we focus on a minisuperspace approach based on a polymerization procedure. We consider the resulting effective metric and study the propagation of quantum fields in this background. The cross sections for scalar particles and fermions are explicitly calculated. The Teukolsky-Chandrasekhar procedure used to derived the fermionic radial equation of motion for usual spacetimes is entirely generalized to a much larger class. The resulting radial equation can be used in quite a lot of other contexts.