By Francesco Cianfrani
This e-book goals to offer a pedagogical and self-consistent remedy of the canonical method of Quantum Gravity, ranging from its unique formula to the latest advancements within the field.
We commence with an cutting edge and enlightening creation to the formalism and ideas on which common Relativity has been outfitted, giving the entire info valuable within the later research. a quick cartoon of the traditional Cosmological version describing the Universe evolution can be given along the research of the inflationary mechanism. After deepening the elemental homes of limited dynamic structures, the Lagrangian method of the Einsteinian concept is gifted in a few aspect, underlining the parallelism with non-Abelian gauge theories. Then, the fundamental ideas of the canonical method of Quantum Mechanics are supplied, concentrating on all these formulations that are correct for the Canonical Quantum Gravity challenge. The Hamiltonian formula of basic Relativity and its limited constitution is then analyzed via evaluating diverse formulations. The ensuing quantum dynamics, defined via the Wheeler–DeWitt equation, is absolutely mentioned with a view to define its advantages and boundaries. Afterwards, the reformulation of Canonical Quantum Gravity when it comes to the Ashtekar–Barbero–Immirzi variables is confronted via an in depth dialogue of the ensuing Loop Quantum Gravity conception. eventually, we offer a constant photo of canonical Quantum Cosmology by way of dealing with the most gains of the Wheeler–DeWitt equation for the homogeneous Bianchi versions after which by way of a close remedy of Loop Quantum Cosmology, together with very fresh developments.
- Introduction to common Relativity
- Elements of Cosmology
- Constrained Hamiltonian Systems
- Lagrangian Formulations
- Quantization Methods
- Quantum Geometrodynamics
- Gravity as a Gauge Theory
- Loop Quantum Gravity
- Quantum Cosmology
Readership: Researchers in theoretical physics, quantum physics, common relativity and astrophysics.
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