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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.
Autorius: | Kasia Rejzner |
Serija: | Mathematical Physics Studies |
Leidėjas: | Springer Nature Switzerland |
Išleidimo metai: | 2016 |
Knygos puslapių skaičius: | 192 |
ISBN-10: | 3319258990 |
ISBN-13: | 9783319258997 |
Formatas: | 241 x 160 x 17 mm. Knyga kietu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Perturbative Algebraic Quantum Field Theory: An Introduction for Mathematicians“