Book 2007

Quantum Gravity

Mathematical Models and Experimental Bounds


ISBN: 978-3-7643-7977-3 (Print) 978-3-7643-7978-0 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvi

  2. Chapter

    Pages 1-13

    Quantum Gravity — A Short Overview

  3. Chapter

    Pages 15-39

    The Search for Quantum Gravity Effects

  4. Chapter

    Pages 41-60

    Time Paradox in Quantum Gravity

  5. Chapter

    Pages 61-75

    Differential Geometry in Non-Commutative Worlds

  6. Chapter

    Pages 77-100

    Algebraic Approach to Quantum Gravity III: Non-Commmutative Riemannian Geometry

  7. Chapter

    Pages 101-126

    Quantum Gravity as a Quantum Field Theory of Simplicial Geometry

  8. Chapter

    Pages 127-150

    An Essay on the Spectral Action and its Relation to Quantum Gravity

  9. Chapter

    Pages 151-159

    Towards a Background Independent Formulation of Perturbative Quantum Gravity

  10. Chapter

    Pages 161-201

    Mapping-Class Groups of 3-Manifolds in Canonical Quantum Gravity

  11. Chapter

    Pages 203-219

    Kinematical Uniqueness of Loop Quantum Gravity

  12. Chapter

    Pages 221-235

    Topological Quantum Field Theory as Topological Quantum Gravity

  13. Chapter

    Pages 237-262

    Strings, Higher Curvature Corrections, and Black Holes

  14. Chapter

    Pages 263-281

    The Principle of the Fermionic Projector: An Approach for Quantum Gravity?

  15. Chapter

    Pages 283-292

    Gravitational Waves and Energy Momentum Quanta

  16. Chapter

    Pages 293-313

    Asymptotic Safety in Quantum Einstein Gravity: Nonperturbative Renormalizability and Fractal Spacetime Structure

  17. Chapter

    Pages 315-326

    Noncommutative QFT and Renormalization

  18. Back Matter

    Pages 327-336