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Quantum Fields in Curved Space : Cambridge Monographs on Mathematical Physics - N. D. Birrell

Quantum Fields in Curved Space

Cambridge Monographs on Mathematical Physics

Paperback Published: 23rd April 1984
ISBN: 9780521278584
Number Of Pages: 352

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This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this rapid development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.

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'... the authors are to be congratulated on producing a timely work that should help to stimulate interest in this fascinating branch of theoretical physics.' Nature 'This book is a clear and cogent introduction to a partially charted territory that has already proved remarkably fertile. The cultivation of new ideas should be greatly aided by providing graduate students with this coordinated textbook.' The Times Higher Education Supplement

Prefacep. vii
Conventions and abbreviationsp. ix
Introductionp. 1
Quantum field theory in Minkowski spacep. 10
Scalar fieldp. 10
Quantizationp. 12
Energy-momentump. 14
Vacuum energy divergencep. 15
Dirac spinor fieldp. 17
Electromagnetic fieldp. 19
Green functionsp. 20
Path-integral quantizationp. 28
Quantum field theory in curved spacetimep. 36
Spacetime structurep. 37
Scalar field quantizationp. 43
Meaning of the particle concept: particle detectorsp. 48
Cosmological particle creation: a simple examplep. 59
Adiabatic vacuump. 62
Adiabatic expansion of Green functionsp. 73
Conformal vacuump. 79
Fields of arbitrary spin in curved spacetimep. 81
Flat spacetime examplesp. 89
Cylindrical two-dimensional spacetimep. 90
Use of Green functionsp. 94
Boundary effectsp. 96
Moving mirrorsp. 102
Quantum field theory in Rindler spacep. 109
Curved spacetime examplesp. 118
Robertson-Walker spacetimesp. 119
Static Robertson-Walker spacetimesp. 122
The Milne universep. 124
De Sitter spacep. 129
Classification of conformal vacuap. 138
Bianchi I spacetimes and perturbation theoryp. 142
Stress-tensor renormalizationp. 150
The fundamental problemp. 151
Renormalization in the effective actionp. 159
Conformal anomalies and the massless casep. 173
Computing the renormalized stress-tensorp. 189
Other regularization methodsp. 206
Physical significance of the stress-tensorp. 214
Applications of renormalization techniquesp. 225
Two-dimensional examplesp. 225
Robertson-Walker modelsp. 232
Perturbation calculation of the stress-tensorp. 237
Cosmological considerationsp. 243
Quantum black holesp. 249
Particle creation by a collapsing spherical bodyp. 250
Physical aspects of black hole emissionp. 264
Eternal black holesp. 275
Analysis of the stress-tensorp. 283
Further developmentsp. 287
Interacting fieldsp. 292
Calculation of S-matrix elementsp. 292
Self-interacting scalar field in curved spacetimep. 301
Particle production due to interactionp. 314
Other effects of interactionsp. 317
Referencesp. 323
Indexp. 337
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521278584
ISBN-10: 0521278589
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 352
Published: 23rd April 1984
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.32 x 15.19  x 2.18
Weight (kg): 0.52

Earn 175 Qantas Points
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