Quantum Gravity from Fundamental Questions to Phenomenological Applications

TL;DR

This paper explores foundational questions in quantum gravity, examining field theoretical aspects, fixed points, spectral dimensions, the Unruh effect, and black hole metrics to bridge theory and phenomenological applications.

Contribution

It provides new insights into quantum gravity through fixed point analysis, spectral dimension calculations, Unruh effect investigations, and black hole metric improvements.

Findings

Identification of interacting fixed points in f(R) gravity with matter

Calculation of spectral dimension from spectral action

Analysis of the Unruh effect in quantum gravity models

Abstract

Investigating quantum gravity requires a comprehension of both, general relativity and quantum field theory. Therefore this thesis starts, after a general introduction to the treated topics, with a brief review of the field theoretical aspects of gravity which are relevant for the projects described here, i.e., (i) a study of interacting fixed points for f(R) gravity coupled to matter, (ii) a calculation of the spectral dimension based on a spectral action, (iii) an investigation of the Unruh effect in different quantum gravity models, and (iv) the metric for renormalisation group improved Schwarzschild black holes.