Fundamental Aspects of Asymptotic Safety in Quantum Gravity

  • Zoë H. Slade

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Zoë H. Slade
    Pages 1-28
  3. Zoë H. Slade
    Pages 29-55
  4. Zoë H. Slade
    Pages 85-125
  5. Zoë H. Slade
    Pages 127-131
  6. Back Matter
    Pages 133-134

About this book


After an extensive introduction to the asymptotic safety approach to quantum gravity, this thesis explains recent key advances reported in four influential papers. Firstly, two exact solutions to the reconstruction problem (how to recover a bare action from the effective average action) are provided. Secondly, the fundamental requirement of background independence in quantum gravity is successfully implemented. Working within the derivative expansion of conformally reduced gravity, the notion of compatibility is developed, uncovering the underlying reasons for background dependence generically forbidding fixed points in such models. Thirdly, in order to understand the true nature of fixed-point solutions, one needs to study their asymptotic behaviour. The author carefully explains how to find the asymptotic form of fixed point solutions within the f(R) approximation. Finally, the key findings are summarised and useful extensions of the work are identified. The thesis finishes by considering the need to incorporate matter into the formalism in a compatible way and touches upon potential opportunities to test asymptotic safety in the future.


Quantum Gravity Asymptotic Safety Renormalization Group Non-Perturbative QFT UV Completion Wilsonian Renormalization Fixed Points Effective Average Action Functional Renormalization Group Conformally Reduced Gravity

Authors and affiliations

  • Zoë H. Slade
    • 1
  1. 1.Department of Physics and AstronomyUniversity of SouthamptonSouthamptonUK

Bibliographic information