Introduction to Modern Canonical Quantum General Relativity
by Thomas Thiemann
Publisher: arXiv 2001
Number of pages: 303
This is an introduction to the research field of canonical quantum general relativity, sometimes called "loop quantum gravity". Canonical quantum general relativity is an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.
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by B. Booss-Bavnbek, G. Esposito, M. Lesch - Springer
The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. This book will benefit everyone working or entering the field of quantum gravity research.
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 Gerald Kaiser - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
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.