Quantum Field Theory in Curved Spacetime Quantized Fields and Gravity

Quantum field theory in curved spacetime has been remarkably fruitful. It can be used to explain how the large-scale structure of the universe and the anisotropies of the cosmic background radiation that we observe today first arose. Similarly, it provides a deep connection between general relativity, thermodynamics, and quantum field theory. This book develops quantum field theory in curved spacetime in a pedagogical style, suitable for graduate students. The authors present detailed, physically motivated, derivations of cosmological and black hole processes in which curved spacetime plays a key role. They explain how such processes in the rapidly expanding early universe leave observable consequences today, and how in the context of evaporating black holes, these processes uncover deep connections between gravitation and elementary particles. The authors also lucidly describe many other aspects of free and interacting quantized fields in curved spacetime.

Preface; Conventions and notation; 1. Quantum fields in Minkowski spacetime; 2. Basics of quantum fields in curved spacetimes; 3. Expectation values quadratic in fields; 4. Particle creation by black holes; 5. The one-loop effective action; 6. The effective action: non-gauge theories; 7. The effective action: gauge theories; Appendixes; References; Index.

Suitable for graduate students, this book presents detailed derivations of cosmological and black hole processes in which curved spacetime plays a key role. It explains how such processes in the early universe leave observable consequences today, and how these processes uncover deep connections between gravitation and elementary particles.

Leonard Parker is a Distinguished Professor in the Physics Department at the University of Wisconsin, Milwaukee. In the 1960s, he was the first to use quantum field theory to show that the gravitational field of the expanding universe creates elementary particles from the vacuum.
David J. Toms is a Reader in Mathematical Physics in the School of Mathematics and Statistics at Newcastle University. His research interests include the formalism of quantum field theory and its applications, and his most recent interests involve the use of quantum field theory methods in low energy quantum gravity.