Quantum Gravity: a Progress Report

@article{Carlip2001QuantumGA,
  title={Quantum Gravity: a Progress Report},
  author={Steven Carlip},
  journal={Reports on Progress in Physics},
  year={2001},
  volume={64},
  pages={885-942}
}
  • S. Carlip
  • Published 27 July 2001
  • Physics
  • Reports on Progress in Physics
The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70?years. Despite recent progress in string theory and loop quantum gravity, a complete solution remains out of reach. I review the status of the continuing effort to quantize gravity, emphasizing the underlying conceptual issues and the various attempts to come to grips with them. 
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References

SHOWING 1-10 OF 304 REFERENCES
Some quantum field theory aspects of the superspace quantization of general relativity
  • C. Isham
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1976
An investigation is started into a possible mathematical structure of the Wheeler-DeWitt superspace quantization of general relativity. The emphasis is placed throughout on quantum field theory
New variables for classical and quantum gravity.
  • Ashtekar
  • Physics
    Physical review letters
  • 1986
TLDR
A Hamiltonian formulation of general relativity based on certain spinorial variables is introduced that enables one to imbed the constraint surface in the phase space of Einstein's theory into that of Yang-Mills theory.
Quantum Gravity and Minimum Length
The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory
Indirect Evidence for Quantum Gravity
An experiment gave results inconsistent with the simplest alternative to quantum gravity, the semiclassical Einstein equations. This evidence supports (but does not prove) the hypothesis that a
Quantum Fields in Curved Space
This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole
Proposal for solving the "problem of time" in canonical quantum gravity.
  • Wald
  • Physics, Philosophy
    Physical review. D, Particles and fields
  • 1993
TLDR
This work describes an approach to defining states and local observables in quantum gravity which exploits the analogy between the Hamiltonian formulation of general relativity and that of a relativistic particle.
Twistor theory and the Einstein vacuum
Twistor theory provides a scheme with the potential for uniting general relativity with quantum mechanics in a more even-handed way than conventional approaches. Some recent work is described whereby
...
...