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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by Martin Bojowald - arXiv
An overview of the current status of singularities in classical and quantum gravity, starting with the classical singularity theorems. This suggests possible routes for quantum gravity to evade the devastating conclusion of the theorems ...
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This article reviews the present status of the spin foam approach to the quantization of gravity. Special attention is payed to the pedagogical presentation of the recently introduced new models for four dimensional quantum gravity.
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Quantum canonical transformations are defined algebraically. This generalizes the quantum canonical transformations to include non-unitary transformations. Their importance for constructing solutions of the Schroedinger equation is discussed.
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The intention of this book is to dig deep in the first principles of physics and develop a relativistic quantum theory from scratch. By this, I mean a theory for the so-called elementary particles which constitute building blocks of nature ...