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Aspects of quantum field theory in curved space-time

Author: Stephen A Fulling
Publisher: Cambridge ; New York : Cambridge University Press, 1989.
Series: London Mathematical Society student texts, 17.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fulling, Stephen A.
Aspects of quantum field theory in curved space-time.
Cambridge ; New York : Cambridge University Press, 1989
(DLC) 89211726
(OCoLC)20501186
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen A Fulling
ISBN: 9781139172073 1139172077 9781107087880 1107087880 9781107094116 1107094119
OCLC Number: 818659350
Description: 1 online resource (ix, 315 pages) : illustrations.
Contents: Preface; 1. A quick course in quantum mechanics; 2. Self-adjoint, elliptic differential operators and eigen-function expansions; 3. Quantisation of a static, scalar field theory; 4. Two-point functions; 5. The stress tensor and the Casimir effect; 6. Quantum field theory in general space-times; 7. Quantum field theory in an expanding universe; 8. Some geometrical apparatus; 9. Renormalisation of the stress tensor; Conclusion; Appendix; Bibliography; Index.
Series Title: London Mathematical Society student texts, 17.
Responsibility: Stephen A. Fulling.
More information:

Abstract:

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.

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"...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 Read more...

 
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