New Paths Towards Quantum Gravity

• Corporate Author: SpringerLink (Online service)
• Other Authors: Booß-Bavnbek, Bernhelm (Editor), Esposito, G. (Editor), Lesch, Matthias (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
• Series: Lecture Notes in Physics, 807
• Subjects: Physics.; Convex geometry.; Discrete geometry.; Gravitation.; Classical and Quantum Gravitation, Relativity Theory.; Convex and Discrete Geometry.

Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them for this is an exciting field of research - often diverge to a degree where...

Table of Contents:

• Three Physics Visions
• Notes on “Quantum Gravity” and Noncommutative Geometry
• Quantum Gravity as Sum over Spacetimes
• Lectures on Quantization of Gauge Systems
• Novel Mathematical Tools
• Mathematical Tools for Calculation of the Effective Action Effective Action in Quantum Gravity
• Lectures on Cohomology, T-Duality, and Generalized Geometry
• Stochastic Geometry and Quantum Gravity: Some Rigorous Results
• Afterthoughts
• Steps Towards Quantum Gravity and the Practice of Science: Will the Merger of Mathematics and Physics Work?.