Semiclassical and Stochastic Gravity: Quantum Field Effects on Curved Spacetime

ISBN-13: 9780521193573 / Angielski / Twarda / 2020 / 614 str.

Bei-Lok B. Hu; Enric Verdaguer

Opis

An overview of semi-classical gravity theory and stochastic gravity as theories of quantum gravity in curved space-time.

Recenzje

'The aim is to help the reader get familiarized with the new topics and techniques through working out some concrete representative problems. The result is a compulsive text quite useful for graduate students and newcomers.' Farhang Loran, zbMATH

Spis treści

Preface; 1. Overview: main themes. Key issues. Reader's guide; Part I. Effective Action and Regularization, Stress Tensor and Fluctuations: 2. `In-out' effective action. Dimensional regularization; 3. `In-in' effective action. Stress tensor. Thermal fields; 4. Stress-energy tensor and correlators: zeta-function method; 5. Stress-energy tensor and correlation. Point separation; Part II. Infrared Behavior, 2Pi, 1/n Backreaction and Semiclassical Gravity: 6. Infrared behavior of interacting quantum fields; 7. Advanced field theory topics; 8. Backreaction of early universe quantum processes; Part III. Stochastic Gravity: 9. Metric correlations at one-loop: in-in and large N; 10. The Einstein-Langevin equation; 11. Metric fluctuations in Minkowski spacetime; Part IV. Cosmological and Black Hole Backreaction with Fluctuations: 12. Cosmological backreaction with fluctuations; 13. Structure formation in the early universe; 14. Black hole backreaction and fluctuations; Part V. Quantum Curvature Fluctuations in De Sitter Spacetime: 15. Stress-energy tensor fluctuations in de Sitter space; 16. Two-point metric perturbations in de Sitter; 17. Riemann tensor correlator in de Sitter; 18. Epilogue: linkage with quantum gravity; References; Index.