The construction of a quantum theory of gravity is the most fundamental challenge confronting contemporary theoretical physics. The different physical ideas which evolved while developing a theory of quantum gravity require highly advanced mathematical methods.
This book presents different mathematical approaches to formulate a theory of quantum gravity. It represents a carefully selected cross-section of lively discussions about the issue of quantum gravity which took place at the second workshop "Mathematical and Physical Aspects of Quantum Gravity" in Blaubeuren, Germany. This collection covers in a unique way aspects of various competing approaches. A unique feature of the book is the presentation of different approaches to quantum gravity making comparison feasible. This feature is supported by an extensive index.
The book is mainly addressed to mathematicians and physicists who are interested in questions related to mathematical physics. It allows the reader to obtain a broad and up-to-date overview on a fascinating active research area.
This volume presents different approaches to quantum gravity, including loop quantum gravity, string theory, noncommutative geometry, canonical quantum gravity, and more advanced approaches. Coverage includes a discussion of the recent experimental status of the search for quantum gravity effects and is accessible to non-experts in the field. Extensive indexing of all articles ensures accessibility to keywords and phrases. The construction of a quantum theory of gravity is the most fundamental challenge confronting contemporary theoretical physics. The different physical ideas evolved in developing a theory of quantum gravity require highly advanced mathematical methods. Written by leading experts in this field, this book provides the reader with an overview of the different mathematical attempts to quantize gravity.
Bertfried Fauser
EFE Gravitational Waves Noncommutative Geometry Quantum Field Theory Quantum Gravity Theoretical physics
From the reviews:
“Presents a selection of contributions presented at the workshop ‘Mathematical and Physical aspects of Quantum Gravity’ … . presentation of various approaches to quantum gravity in one volume is rather unique and provides reader with an opportunity to compare their advantages and disadvantages. A significant advantage of this volume is that the articles are written in a less technical style, focusing only on major theoretical questions, with many contributions being accessible to non-specialists and thus providing a broad overview of this fascinating field of research.” (Vojtěch Pravda, Applications of Mathematics, Vol. 55 (5), 2010)