Perturbative Algebraic Quantum Field Theory
Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn’t require the use of divergent quantities and works on a large class of Lorenzian manifolds.We discuss in detail the examples of scalar fields, gauge theories and the effective quantum gravity.pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all, of these conceptual problems.Chapters 1-3 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses effective quantum gravity.The book aims to be accessible to researchers and graduate students, who are interested in the mathematical foundations of pQFT.
| Autor: | Rejzner, Kasia |
|---|---|
| ISBN: | 9783319798578 |
| Sprache: | Englisch |
| Seitenzahl: | 180 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Veröffentlicht: | 24.04.2018 |
| Untertitel: | An Introduction for Mathematicians |
| Schlagworte: | Algebraic Quantum Field Theory Batalin-Vilkoviski Formalism Effective quantum gravity Epstein-Glaser Method Gauge Theory Locally Covariant Quantum Field Theory Mathematical Foundations of Quantum Field Theory Perturbative Quantum Field Theory Quantum Field Theory on curved spacetimes Theory of Scalar field |