

Lecture note 39/2008
Lectures on quantum field theory in curved spacetime
Christopher J. Fewster
Contact the author: Please use for correspondence this email.
Submission date: 22. Oct. 2008
Pages: 62
Bibtex
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Abstract:
These notes provide an introduction to quantum field theory in curved space-
times, starting from the beginning but leading to some areas of current research.
Topics covered include: globally hyperbolic spacetimes, canonical quantization,
Euclidean Green functions, the Unruh effect, gravitational particle production,
algebraic quantization, the Hadamard and microlocal spectrum conditions, and
quantum energy inequalities.
Table of Contents:
1 Introduction, scope and literature
2 Manifolds, covariant derivatives and all that
3 The classical Klein–Gordon field
4 Canonical quantization of the Klein–Gordon field
5 Algebraic approach to quantization
6 Microlocal analysis and the Hadamard condition
7 Closing remarks and additional literatureCopyright remains with the author.