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 Johan Noldus - viXra
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 ...
by Arlen Anderson - arXiv
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.
by Alejandro Perez - arXiv
In this article we review the present status of the spin foam formulation of non-perturbative quantum gravity. In the first part we present a general introduction to the main ideas emphasizing their motivations from various perspectives.
by Bryce S. DeWitt, Giampiero Esposito - arXiv
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.