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Preface; Notation and conventions; Introduction;
Part I. Classical Foundations, Interpretation and the Canonical Quantisation Programme:
1. Classical Hamiltonian formulation of general relativity;
2. The problem of time, locality and the interpretation of quantum mechanics;
3. The programme of canonical quantisation;
4. The new canonical variables of Ashtekar for general relativity;
Part II. Foundations of Modern Canonical Quantum General Relativity:
5. Introduction;
6. Step I: the holonomy-flux algebra [P];
7. Step II: quantum-algebra;
8. Step III: representation theory of [A];
9. Step IV:
1. Implementation and solution of the kinematical constraints;
10. Step V:
2. Implementation and solution of the Hamiltonian constraint;
11. Step VI: semiclassical analysis;
Part III. Physical Applications:
12. Extension to standard matter;
13. Kinematical geometrical operators;
14. Spin foam models;
15. Quantum black hole physics;
16. Applications to particle physics and quantum cosmology;
17. Loop quantum gravity phenomenology;
Part IV. Mathematical Tools and their Connection to Physics:
18. Tools from general topology;
19. Differential, Riemannian, symplectic and complex geometry;
20. Semianalytical category;
21. Elements of fibre bundle theory;
22. Holonomies on non-trivial fibre bundles;
23. Geometric quantisation;
24. The Dirac algorithm for field theories with constraints;
25. Tools from measure theory;
26. Elementary introduction to Gel'fand theory for Abelean C* algebras;
27. Bohr compactification of the real line;
28.Operatir -algebras and spectral theorem;
29. Refined algebraic quantisation (RAQ) and direct integral decomposition (DID);
30. Basics of harmonic analysis on compact Lie groups;
31. Spin network functions for SU(2);
32. + Functional analytical description of classical connection dynamics; Bibliography; Index.
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Add Modern Canonical Quantum General Relativity, Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quan, Modern Canonical Quantum General Relativity to the inventory that you are selling on WonderClubX
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Add Modern Canonical Quantum General Relativity, Modern physics rests on two fundamental building blocks: general relativity and quantum theory. General relativity is a geometric interpretation of gravity while quantum theory governs the microscopic behaviour of matter. Since matter is described by quan, Modern Canonical Quantum General Relativity to your collection on WonderClub |