Extreme Regimes in Quantum Gravity


Series: Physics Research and Technology
BISAC: SCI057000

This book is divided into two parts. The low-energy limit of quantum gravity is analysed in the first half of the book, whereas in the second half of the book, the authors explain the high-energy domain.

In the first part, by applying the effective field theory point of view to the quantization of general relativity, detectable, though tiny, quantum effects in the position of Newtonian Lagrangian points of the Earth-Moon system are found. In order to make more realistic the quantum corrected model proposed, the full three-body problem where the Earth and the Moon interact with a generic massive body as well as the restricted four-body problem involving the perturbative effects produced by the gravitational presence of the Sun in the Earth-Moon system are also studied. After that, a new quantum theory having general relativity as its classical counterpart is analysed. By exploiting this framework, an innovative interesting prediction involving the position of Lagrangian points within the context of general relativity is described. Furthermore, the new pattern provides quantum corrections to the relativistic coordinates of Earth-Moon libration points of a few millimetres.

The second part of the book deals with the Riemannian curvature characterizing the boosted form assumed by the Schwarzschild-de Sitter metric. The analysis of the Kretschmann invariant and the geodesic equation shows that the spacetime possesses a “scalar curvature singularity” within a 3-sphere and that it is possible to define what the authors refer to as a “boosted horizon”, which is a sort of elastic wall where all particles are surprisingly pushed away, suggesting that such “boosted geometries” are ruled by a sort of “antigravity effect”. Eventually, the equivalence with the coordinate shift method is invoked in order to demonstrate that all ä2 terms appearing in the Riemann curvature tensor give a vanishing contribution in the distributional sense. (Imprint: Nova)

Table of Contents

Table of Contents


List of Figures

List of Tables


Part I: The Low-Energy Limit

Chapter 1. General Relativity as an Effective Field Theory

Chapter 2. The Restricted Three-Body Problem in Effective Field Theories of Gravity

Chapter 3. Quantum Description of More Detailed Newtonian Models

Chapter 4. Towards a New Quantum Theory

Part II: The High-Energy Limit

Chapter 5. Boosted Spacetimes

Conclusions and Open Problems


A. Summary of Feynman Rules for Quantum Gravity

B. Useful Integrals

C. Asymptotic Expansions

D. Notes on the System x=Ax

E. The Tetrad Formalism


About the Author



Click here to read the book review by – Giampiero Esposito, Department of Physics, University of Naples, Italy

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