Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 786)
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Table of contents (5 chapters)
Keywords
About this book
After some decades of work a satisfactory theory of quantum gravity is still not available; moreover, there are indications that the original field theoretical approach may be better suited than originally expected. There, to first approximation, one is left with the problem of quantum field theory on Lorentzian manifolds. Surprisingly, this seemingly modest approach leads to far reaching conceptual and mathematical problems and to spectacular predictions, the most famous one being the Hawking radiation of black holes. Ingredients of this approach are the formulation of quantum physics in terms of C*-algebras, the geometry of Lorentzian manifolds, in particular their causal structure, and linear hyperbolic differential equations where the well-posedness of the Cauchy problem plays a distinguished role, as well as more recently the insights from suitable concepts such as microlocal analysis. This primer is an outgrowth of a compact course given by the editors and contributing authors to an audience of advanced graduate students and young researchers in the field, and assumes working knowledge of differential geometry and functional analysis on the part of the reader.
Reviews
From the reviews:
“This is a very nice book which captures in only 160 pages the most important aspects of the mathematical and conceptional foundations of quantum field theory on curved spacetimes. … the interested reader can find here an introduction to the key concepts and pointers towards further literature. I can recommend this book to readers who are new to the subject as an ideal starting point, and also to more experienced researchers who are looking for a short and concise overview.” (Michael Keyl, Mathematical Reviews, Issue 2011 f)Editors and Affiliations
Bibliographic Information
Book Title: Quantum Field Theory on Curved Spacetimes
Book Subtitle: Concepts and Mathematical Foundations
Editors: Christian Bär, Klaus Fredenhagen
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-642-02780-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-642-02779-6Published: 28 September 2009
Softcover ISBN: 978-3-642-26051-3Published: 14 March 2012
eBook ISBN: 978-3-642-02780-2Published: 18 September 2009
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: X, 160
Number of Illustrations: 30 b/w illustrations
Topics: Elementary Particles, Quantum Field Theory, Mathematical Methods in Physics, Manifolds and Cell Complexes (incl. Diff.Topology), Classical and Quantum Gravitation, Relativity Theory