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Semiclassical and Stochastic Gravity

Semiclassical and Stochastic Gravity
Quantum Field Effects on Curved Spacetime

Part of Cambridge Monographs on Mathematical Physics

  • Publication planned for: May 2020
  • availability: Not yet published - available from May 2020
  • format: Hardback
  • isbn: 9780521193573


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About the Authors
  • The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). It explores the self-consistent description of both space-time 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 (space-time foams). Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology.

    • 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 non-equilibrium quantum processes, gravitational quantum physics and quantum gravity
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    Product details

    • Publication planned for: May 2020
    • format: Hardback
    • isbn: 9780521193573
    • dimensions: 247 x 174 mm
    • contains: 10 b/w illus.
    • availability: Not yet published - available from May 2020
  • Table of Contents

    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

  • Authors

    Bei-Lok B. Hu, University of Maryland, College Park
    Bei-Lok B. Hu is Professor of Physics at the University of Maryland, College Park. He is a Fellow of the American Physical Society and co-authored Nonequilibrium Quantum Field Theory (Cambridge, 2008). His research in theoretical physics focuses on gravitation and quantum theory.

    Enric Verdaguer, Universitat de Barcelona
    Enric Verdaguer is Professor of Physics at the Universitat de Barcelona. He is a member of the Royal Astronomical Society, specializes in gravitation and gravitational quantum physics, and is co-author of Gravitational Solitons (Cambridge, 2001).

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