Why quantize gravity? / 1: |
Special relativity and electro-magnetism / 2: |
Space and space-time / 2.1: |
Relativistic mechanics / 2.2: |
Maxwell theory / 2.3: |
Some elements of general relativity / 3: |
Introduction / 3.1: |
General coordinates and vectors / 3.2: |
Curvature / 3.3: |
The Einstein equations and some of their solutions / 3.4: |
Diffeomorphisms / 3.5: |
The 3 + 1 decomposition / 3.6: |
Triads / 3.7: |
Hamiltonian mechanics including constraints and fields / 4: |
Usual mechanics in Hamiltonian form / 4.1: |
Constraints / 4.2: |
Field theories / 4.3: |
Totally constrained systems / 4.4: |
Yang-Mills theories / 5: |
Kinematical arena and dynamics / 5.1: |
Holonomies / 5.2: |
Quantum mechanics and elements of quantum field theory / 6: |
Quantization / 6.1: |
Elements of quantum field theory / 6.2: |
Interacting quantum field theories and divergences / 6.3: |
Renormalizability / 6.4: |
General relativity in terms of Ashtekar's new variables / 7: |
Canonical gravity / 7.1: |
Ashtekar's variables: classical theory / 7.2: |
Coupling to matter / 7.3: |
Loop representation for general relativity / 7.4: |
The loop transform and spin networks / 8.1: |
Geometric operators / 8.2: |
The Hamiltonian constraint / 8.3: |
An application: loop quantum cosmology / 9: |
The classical theory / 9.1: |
Traditional Wheeler-De Witt quantization / 9.2: |
Loop quantum cosmology / 9.3: |
Semiclassical theory / 9.4: |
Further developments / 10: |
Black hole entropy / 10.1: |
The master constraint and uniform discretizations / 10.2: |
Spin foams / 10.3: |
Possible observational effects? / 10.4: |
The problem of time / 10.5: |
Open issues and controversies / 11: |
References |
Index |
Why quantize gravity? / 1: |
Special relativity and electro-magnetism / 2: |
Space and space-time / 2.1: |