By Francesco Cianfrani
This publication goals to offer a pedagogical and self-consistent therapy of the canonical method of Quantum Gravity, ranging from its unique formula to the newest advancements within the field.
We commence with an cutting edge and enlightening advent to the formalism and ideas on which normal Relativity has been equipped, giving the entire details useful within the later research. a short comic strip of the normal Cosmological version describing the Universe evolution is usually given along the research of the inflationary mechanism. After deepening the basic houses of limited dynamic structures, the Lagrangian method of the Einsteinian thought is gifted in a few aspect, underlining the parallelism with non-Abelian gauge theories. Then, the elemental recommendations of the canonical method of Quantum Mechanics are supplied, concentrating on all these formulations that are appropriate for the Canonical Quantum Gravity challenge. The Hamiltonian formula of basic Relativity and its limited constitution is then analyzed via evaluating various formulations. The ensuing quantum dynamics, defined through the Wheeler–DeWitt equation, is totally mentioned as a way to define its advantages and bounds. Afterwards, the reformulation of Canonical Quantum Gravity by way of the Ashtekar–Barbero–Immirzi variables is confronted by way of a close dialogue of the ensuing Loop Quantum Gravity concept. ultimately, we offer a constant photo of canonical Quantum Cosmology through dealing with the most positive factors of the Wheeler–DeWitt equation for the homogeneous Bianchi versions after which by way of an in depth remedy of Loop Quantum Cosmology, together with very fresh developments.
- Introduction to basic 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, normal relativity and astrophysics.
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Canonical Quantum Gravity:Fundamentals and Recent Developments by Francesco Cianfrani
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