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基本説明
理論宇宙物理学、宇宙学、素粒子物理学、紐理論の分野における学生向けの重力場の入門テキスト。解答つき練習問題を含む。
Quantum field theory for undergraduates and graduates in theoretical astrophysics, cosmology, particle physics, and string theory. An introductory textbook on quantum field theory in gravitational backgrounds for undergraduate and beginning graduate students.
Full Description
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.
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.
