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This book, first published in 2007, is an introductory textbook on quantum field theory in gravitational backgrounds intended for undergraduate and beginning graduate students in the fields of theoretical astrophysics, cosmology, particle physics, and string theory. The book covers the basic (but essential) material of quantization of fields in an expanding universe and quantum fluctuations in inflationary spacetime. It also contains a detailed explanation of the Casimir, Unruh, and Hawking effects, and introduces the method of effective action used for calculating the back-reaction of quantum systems on a classical external gravitational field. The broad scope of the material covered will provide the reader with a thorough perspective of the subject. Every major result is derived from first principles and thoroughly explained. The book is self-contained and assumes only a basic knowledge of general relativity. Exercises with detailed solutions are provided throughout the book.
- Sales Rank: #1479443 in Books
- Published on: 2007-06-25
- Original language: English
- Number of items: 1
- Dimensions: 9.72" h x .67" w x 6.85" l, 1.60 pounds
- Binding: Hardcover
- 284 pages
Review
"... A groundbreaker in being an introductory text on quantum field theory in gravitational backgrounds, intended for undergraduate and beginning graduate students."
Lewis H. Ryder, Mathematical Reviews
"The treatment is clear throughout and the mathematical manipulations straightforward. This book is to be greatly recommended to anyone with an interest in contemporary theoretical cosmology; it is a most valuable contribution to the literature on the early universe."
Contemporary Physics
About the Author
VIATCHESLAV MUKHANOV is Professor of Physics at Ludwig-Maximilians-University, Munich. His main result is the theory of inflationary cosmological perturbations. Professor Mukhanov is author of Physical Foundations of Cosmology (Cambridge University Press, 2005). He also serves on the editorial boards of leading research journals and is Scientific Director of the Journal of Cosmology and Astroparticle Physics (JCAP).
SERGEI WINITZKI is Research Associate in the Department of Physics at Ludwig-Maximilians-University, Munich. His main areas of research include quantum cosmology, the theory of dark energy, the global structure of spacetime, and quantum gravity.
Most helpful customer reviews
68 of 68 people found the following review helpful.
at LAST understandable quantization in curved spacetime for BEGINNERS
By smallphi
The standard reference for quantum fields in curved spacetimes is Birrell & Davies which is totally incomprehensible for beginners at both conceptual and computational levels - just my 6 months experience with it. The present book is the only one I know that takes beginners to a level no other book can. It is conceptually clear and tailored to beginners in the field which already had courses in Complex analysis (you will need to have some idea what analytic continuation is), Quantum Mechanics, General Relativity and a little Quantum Field Theory (only free fields).
The first part of the book is devoted to specifying a relevant ground/vacuum state of a scalar field and calculations using Bogoljubov coefficients. The usual Unruh effect is given a detailed carefull consideration, Hawking radiation is derived by analogy and Casimir effect is briefly considered too. Most importantly, the book gives a very clear treatment of quantization of a scalar field in expanding universe. Later that is applied to the inflationary spacetime (de Sitter). The vaccum state of the scalar field is specified (Bunch-Davies) and the spectrum of the primordial field fluctuations calculated - that is a hot topic in Cosmology since a derivative of that spectrum is observed in CMB and Large scale structure.
The second part of the book deals with actions and path integral quantization of a system. The effective action of a quantum sub-system interacting with a classical sub-system (the background) is defined and shown how to use it to calculate matrix elements of operators. The effective action of a quantum scalar field in a gravitational classical background is considered. In order to calculate it, it's transformed to Euclidean action and then renormalized (thrown away infinities) using zeta function and heat kernel technique then analytically continued back to Lorentzian action. A whole chapter is devoted to showing how the zeta function renormalization (by analytical continuation of zeta function) throws away infinities that can be viewed as being absorbed in the bare coupling constants of the action. At the end it is shown how to use the renormalized effective action to calculate matrix elements of the energy-momentum tensor (in 2D).
The book is self-contained and derives everything from scratch (path integrals included). It can be read in about 2 months if you read 5 pages/day and solve the problems. The style is consize and straight to the point explaining the correct conceptual understanding. There are numerous problems interspersed around the text with solutions at the end of the book. There are nice appendices on functionals, functional derivatives, distributions (like delta function) and Green's functions which are pretty usefull.
It is amazing and exciting that in such a short time the reader will gain some basic understanding of advanced topics like effective action, zeta function, heat kernel, conformal anomaly, primordial quantum fluctuations etc. An example of textbook writing at the finest level ...
8 of 8 people found the following review helpful.
Pedagogical master !
By Juice
This is a great book! Anybody interested in QFT should read at least the first part. The transition from quantum mechanics to quantum field theory is impeccable, it finally gave me the feeling that I had understood what quantum field theory was all about, although I've read several introductions to the subject. Moreover, the chapters are full of very useful remarks, and there is a great emphasis on physical meaning. There are many good examples and exercices (with corrections at the end). The physical models are simple, but there are almost no missing steps in the calculations.
The authors have obviously tested their textbook on many students before publishing anything, and this is all for the best!
If you want to go further, you can complement this book with Birrel and Davies, or read the many good reviews published in the litterature.
1 of 1 people found the following review helpful.
Best introduction into this field
By Joseph Palazzo
It's clear, concise and has an easy flow. All the basic ingredients are there - and some topics that are very popular such as the Unruh effect, Hawking radiation, and the Casimir effect.
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