An introduction to quantum gravity

@article{Dewitt2008AnIT,
  title={An introduction to quantum gravity},
  author={Bryce S. Dewitt and Giampiero Esposito},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2008},
  volume={05},
  pages={101-156}
}
  • B. Dewitt, G. Esposito
  • Published 15 November 2007
  • Physics
  • International Journal of Geometric Methods in Modern Physics
Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, while giving rise to new developments in mathematics. The various competing theories, e.g. string theory and loop quantum gravity, have still to be checked against observations. We review the classical and quantum foundations necessary to study… 
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References

SHOWING 1-10 OF 260 REFERENCES
Quantum gravity: general introduction and recent developments
I briefly review the current status of quantum gravity. After giving some general motivations for the need of such a theory, I discuss the main approaches in quantizing general relativity: Covariant
Modern Canonical Quantum General Relativity
The open problem of constructing a consistent and experimentally tested quantum theory of the gravitational field has its place at the heart of fundamental physics. The main approaches can be roughly
Quantum Gravity, Quantum Cosmology and Lorentzian Geometries
The first aim of this book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation is to understand whether supersymmetric theories are one-loop
The Global Approach to Quantum Field Theory
Thanks to its impressive success in the second half of the 20th century, both in high-energy physics and in critical phenomena, quantum field theory has enjoyed an abundant literature. We therefore
QUANTUM THEORY OF GRAVITY. II. THE MANIFESTLY COVARIANT THEORY.
Contrary to the situation which holds for the canonical theory described in the first paper of this series, there exists at present no tractable pure operator language on which to base a manifestly
The self-organized de Sitter universe
We propose a theory of quantum gravity which formulates the quantum theory as a nonperturbative path integral, where each space–time history appears with the weight exp(iSEH), with SEH the
Quantum Gravity
General lectures on quantum gravity. 1 General Questions on Quantum Gravity It is not clear at all what is the problem in quantum gravity (cf. [3] or [8] for general reviews, written in the same
Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
The exact renormalization group equation for pure quantum gravity is used to derive the nonperturbative \ensuremath{\beta}-functions for the dimensionless Newton constant and cosmological constant on
"Relative State" Formulation of Quantum Mechanics
The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as
Quantum gravity and path integrals
The path-integral method seems to be the most suitable for the quantization of gravity. One would expect the dominant contribution to the path integral to come from metrics which are near background
...
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