"Loop Quantum Gravity"
by
Carlo Rovelli
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Abstract
1
Introduction
2
Quantum Gravity: Where Are We?
2.1
What is the problem? The view of a high-energy physicist
2.2
What is the problem? The view of a relativist
2.3
Strings and loops
3
The Development of Loop Gravity
4
Resources
5
Ideas and Physical Inputs
5.1
Quantum field theory on a differentiable manifold
5.2
Why loops?
5.3
Physical meaning of diffeomorphism invariance and its implementation in the quantum theory
5.4
Problems
not
addressed
6
Formalism
6.1
Classical theory
6.2
Quantum kinematics
6.3
Loop and spin network states
6.4
Diffeomorphism invariance
6.5
Other structures in
6.6
Dynamics: I. Hamiltonian
6.7
Dynamics: II. Spin foams
6.8
Dynamics: III. Group field theory
6.9
Matter couplings
6.10
Variants: fundamental discreteness
7
Physical Results
8
Open Problems and Current Lines of Investigation
9
Short Summary and Conclusion
10
Acknowledgments
References
Footnotes
Figures