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