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Quantum Gravity and the Functional Renormalization Group
The Road towards Asymptotic Safety


Part of Cambridge Monographs on Mathematical Physics

  • Date Published: January 2019
  • availability: In stock
  • format: Hardback
  • isbn: 9781107107328

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About the Authors
  • During the past two decades the gravitational asymptotic safety scenario has undergone a major transition from an exotic possibility to a serious contender for a realistic theory of quantum gravity. It aims at a mathematically consistent quantum description of the gravitational interaction and the geometry of spacetime within the realm of quantum field theory, which keeps its predictive power at the highest energies. This volume provides a self-contained pedagogical introduction to asymptotic safety, and introduces the functional renormalization group techniques used in its investigation, along with the requisite computational techniques. The foundational chapters are followed by an accessible summary of the results obtained so far. It is the first detailed exposition of asymptotic safety, providing a unique introduction to quantum gravity and it assumes no previous familiarity with the renormalization group. It serves as an important resource for both practising researchers and graduate students entering this maturing field.

    • Accessible for students and researchers interested in contributing to the research area as is provides a clear and pedagogical introduction to the asymptotic safety program
    • A seminal book to focus on quantum field theory beyond the realm of perturbation theory, providing a standard reference in the field and clarifying many of the common misconceptions that are typically encountered
    • Contains both technical background material needed for carrying out research related to asymptotic safety, and appendices of important computational techniques, allowing the reader access to this information in one place
    • Provides a major expansion of one of the most cited review articles in the field by including the rapid developments that the field has undergone in the last five years
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    Product details

    • Date Published: January 2019
    • format: Hardback
    • isbn: 9781107107328
    • length: 354 pages
    • dimensions: 255 x 180 x 24 mm
    • weight: 0.78kg
    • availability: In stock
  • Table of Contents

    1. A quantum field theory of gravity
    2. The functional renormalization group
    3. The asymptotic safety mechanism
    4. A functional renormalization group for gravity
    5. Truncations of single-metric type
    6. Bi-metric truncations
    7. Conformally reduced gravity
    8. The reconstruction problem
    9. Alternative field variables
    10. Matter coupled to quantum gravity
    11. Towards phenomenology
    12. Miscellanea
    Appendix A. Notation and conventions
    Appendix B. Organizing the derivative expansion
    Appendix C. Metric variations
    Appendix D. Heat Kernel techniques
    Appendix E. Cutoff- and threshold functions
    Appendix F. Field decompositions

  • Authors

    Martin Reuter, Johannes Gutenberg Universität Mainz, Germany
    Martin Reuter is a Professor of Theoretical Physics at the Johannes Gutenberg Universität Mainz, Germany. He previously worked at the European Laboratory for Particle Physics, CERN, in Geneva, the DESY laboratory in Hamburg, and the Leibniz Universität Hannover. In the 1990s, he initiated the exploration of quantum gravity and the Asymptotic Safety scenario by means of the functional renormalization group and subsequently played a key role in developing the program into its present form.

    Frank Saueressig, Radboud Universiteit Nijmegen
    Frank Saueressig is Associate Professor at the Radboud Universiteit Nijmegen. Before his appointment, he held research positions at Utrecht University, the Institut de Physique Théorique at CEA/Saclay, and an Emmy Noether fellowship at the Johannes Gutenberg University Mainz. With more than seventy scientific publications in the field of quantum gravity he is among the leading young talents in the field.

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