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Aspects of Quantum Field Theory in Curved Spacetime

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Paperback | 23 October 1989

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Paperback
328 Pages

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22.86 x 15.24 x 1.85

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The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.

Industry Reviews

"...an excellent introduction to the research of the past two decades bearing on this test problem." American Scientist "It provides for the mathematician an introduction to this field of physics in a language and from a point of view which we quickly find familiar. The physicist will gain the conviction that this quantum field theory has a very sound mathematical basis." Sorin Marculescu, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Mathematics Calculus & Mathematical Analysis Applied Mathematics Relativity Physics

Preface
A quick course in quantum mechanics
Self-adjoint, elliptic differential operators and eigen-function expansions
Quantisation of a static, scalar field theory
Two-point functions
The stress tensor and the Casimir effect
Quantum field theory in general space-times
Quantum field theory in an expanding universe
Some geometrical apparatus
Renormalisation of the stress tensor
Conclusion
Appendix
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Aspects of Quantum Field Theory in Curved Spacetime

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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