New Paths Towards Quantum Gravity
by B. Booss-Bavnbek, G. Esposito, M. Lesch
Publisher: Springer 2010
Number of pages: 380
The division of the book in two parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and on gauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity.
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The reader is introduced to the functional integral quantization of gravitation and Yang-Mills theory. The text is useful for all Ph.D. students who face the task of learning some basic concepts in quantum gravity in a relatively short time.
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Stephen Hawking and Roger Penrose put forward their related but rather different viewpoints on the nature of space and time. They discuss their different approaches. A basic knowledge of general relativity and quantum theory is assumed.
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An introduction to the canonical quantization of gravity performed in loop quantum gravity. A special feature of this introduction is the inclusion of new proposals for coupling matter to gravity that can be used to deparametrize the theory.
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