This is the first 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.
Contents
Preface; Part I. Canonical Quantization and Particle Production: 1. Overview: a taste of quantum fields; 2. Reminder: Classical and quantum theory; 3. Driven harmonic oscillator; 4. From harmonic oscillators to fields; 5. Reminder: Classical fields; 6. Quantum fields in expanding universe; 7. Quantum fields in the de Sitter universe; 8. Unruh effect; 9. Hawking effect. Thermodynamics of black holes; 10. The Casimir effect; Part II. Path Integrals and Vacuum Polarization: 11. Path integrals; 12. Effective action; 13. Calculation of heat kernel; 14. Results from effective action; Appendices; Index.
Reviews
"... 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
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