Semiclassical and Stochastic Gravity
Quantum Field Effects on Curved Spacetime
£155.00
Part of Cambridge Monographs on Mathematical Physics
 Authors:
 BeiLok B. Hu, University of Maryland, College Park
 Enric Verdaguer, Universitat de Barcelona
 Publication planned for: February 2020
 availability: Not yet published  available from February 2020
 format: Hardback
 isbn: 9780521193573
£
155.00
Hardback
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The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of spacetime, the latter, the microscopic constituents of matter. Combining the two yields quantum field theory in curved spacetime, which is needed to understand quantum field processes in the early universe and black holes, such as the wellknown Hawking effect. This book examines the effects of quantum field processes backreacting on the background spacetime which become important near the Planck time (1043 sec). It explores the selfconsistent description of both spacetime and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (spacetime foams). Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology.
Read more Introduces mathematical formalisms and methodology by explicitly showing how they are implemented using field theory examples
 Includes examples of advanced field theory techniques used to solve problems in the early universe and black holes, preparing readers for future research
 Contains information on new concepts and techniques, and provides links to new research problems in nonequilibrium quantum processes, gravitational quantum physics and quantum gravity
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×Product details
 Publication planned for: February 2020
 format: Hardback
 isbn: 9780521193573
 dimensions: 247 x 174 mm
 contains: 10 b/w illus.
 availability: Not yet published  available from February 2020
Table of Contents
Preface
1. Overview: main themes. Key issues. Reader's guide
Part I. Effective Action and Regularization, Stress Tensor and Fluctuations:
2. `Inout' effective action. Dimensional regularization
3. `Inin' effective action. Stress tensor. Thermal fields
4. Stressenergy tensor and correlators: zetafunction method
5. Stressenergy 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 oneloop: inin and large N
10. The EinsteinLangevin 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. Stressenergy tensor fluctuations in de Sitter space
16. Twopoint metric perturbations in de Sitter
17. Riemann tensor correlator in de Sitter
18. Epilogue: linkage with quantum gravity
References
Index.
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