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Quantum Field Theory on Curved Spacetimes Christian Bar

Quantum Field Theory on Curved Spacetimes By Christian Bar

Quantum Field Theory on Curved Spacetimes by Christian Bar


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Summary

This book, Quantum Field Theory on Curved Spacetimes, evolved from 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.

Quantum Field Theory on Curved Spacetimes Summary

Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations by Christian Bar

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.

Quantum Field Theory on Curved Spacetimes 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)

Table of Contents

C#x002A;-algebras.- Lorentzian Manifolds.- Linear Wave Equations.- Microlocal Analysis.- Quantum Field Theory on Curved Backgrounds.

Additional information

NLS9783642260513
9783642260513
3642260519
Quantum Field Theory on Curved Spacetimes: Concepts and Mathematical Foundations by Christian Bar
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2012-03-14
160
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Quantum Field Theory on Curved Spacetimes