Quantum Gravity and the Functional Renormalization Group: The Road Towards Asymptotic Safety

ISBN-13: 9781107107328 / Angielski / Twarda / 2019 / 354 str.

Martin Reuter; Frank Saueressig

Opis

A self-contained pedagogical introduction to asymptotic safety and the functional renormalization group in quantum gravity, for graduate students and researchers.

Recenzje

'This book summarizes the developments in a specific approach to quantum gravity, called the 'asymptotic safety' scenario, over the last thirty years. It provides a pedagogical account of the basic conceptual idea and methods of the approach, and should be a valuable resource for researchers in this field.' Ivan G. Avramidi, Mathematical Reviews Clippings

Spis treści

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; References; Index.