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  3. Aspects of Quantum Field Theory in Curved Spacetime
  • Cited by 479
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
1989
Online ISBN:
9781139172073
DOI:
https://doi.org/10.1017/CBO9781139172073
Subjects:
Mathematics (general), Mathematics, Physics and Astronomy, Cosmology, Relativity and Gravitation, Mathematical Physics
Series:
London Mathematical Society Student Texts (17)
Information

Book description

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.

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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