Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) [Paperback]

N. D. Birrell (Author), P. C. W. Davies (Author)

Book Description

ISBN-10: 0521278589 | ISBN-13: 978-0521278584 | Publication Date: April 27, 1984

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 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.

Editorial Reviews

Review

"...an extremely welcome and valuable addition to the literature..." British Book News

"...a coherent and comprehensive treatment of the research of the past decade..." Physics Today

Book Description

A comprehensive review of gravitational effects in quantum field theory. Treatment is general, but special emphasis is given to the Hawking black hole evaporation effect and to particle creation processes in the early universe.

Product Details

• Paperback: 352 pages
• Publisher: Cambridge University Press (April 27, 1984)
• Language: English
• ISBN-10: 0521278589
• ISBN-13: 978-0521278584
• Product Dimensions: 9 x 5.9 x 0.9 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
• Amazon Best Sellers Rank: #279,934 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

10 of 11 people found the following review helpful:

4.0 out of 5 stars Out of date but motivates modern developments, September 22, 2003

By 

Dr. Lee D. Carlson (Baltimore, Maryland USA) - See all my reviews
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This review is from: Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) (Paperback)

At the time of publication of this book, there was growing interest in how to formulate quantum field theory in spactimes with curved metrics with the intent of studying to what extent a non-flat curvature would change the properties and behavior of quantum fields as compared to the Minkowski case.The authors give an introduction to this research and they do a good job in that regard. Due to the influence of superstring and M-theory on high energy physics at the present time, fewer researchers are studying the problems as they are cast in this book. On the other hand, interest in the Casimir effect and the behavior of quantum fields at boundaries is still very much alive. This book could still be use to motivate this research. It is expected that anyone reading this book will have a background in quantum field theory in flat space, but one could still perhaps read it without such a background.

Quantum field theory in flat spacetime is difficult enough, and it is still not entirely understood from a mathematical perspective. Even the physics of interacting quantum fields is still poorly understood in flat spacetime, especially in its ability to predict a bound state. Therefore, it might seem a bit disconcerting to some for researchers to add further complications to quantum field theory by casting them in curved backgrounds. However, cosmological and astrophysical interests drives this research, as well as more practical considerations arising from the Casimir effect.

The renormalization procedures in quantum field theory are further complicated in curved spacetime via the "trace" or "conformal" anomalies. The reader gets a good dose of these in the book in the discussion on the renormalization of the stress. The idea of an "effective" action, which has been exploited with zeal in the flat spacetime case, appears here also.

The most important thing to carry away from this book is that the idea of a particle in curved space quantum field theory is not very well-formulated, i.e. particle detectors in such situations are not related to the quantity of matter present in a region as they are in the flat-space case. Doing quantum field theory when gravity is present has instigated a huge amount of research, related to the still unsolved problem of just how to quantize the gravitational field.

10 of 13 people found the following review helpful:

5.0 out of 5 stars Excellent, November 29, 1999

By 

Jeff Murugan (Cape Town, South Africa) - See all my reviews

This review is from: Quantum Fields in Curved Space (Cambridge Monographs on Mathematical Physics) (Paperback)

One of the better books on quantum fields that I have read so far. An especially good treatment of the Casimir effect and boudary terms is given. The authors have a wonderfully conversive manner of discourse which I enjoyed very much.