Perturbative Algebraic Quantum Field Theory
An Introduction for Mathematicians
Authors: Rejzner, Kasia
Free Preview- A brief, though complete and self-consistent, introduction to perturbative Algebraic Quantum Field Theory (pAQFT)
- Written by one of the leading experts in the field
- The reader get all the prerequisites to understand QFT concepts used in cutting edge research in particle physics, cosmology and solid state physics.
- A useful reference for mathematicians interested in QFT
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- About this book
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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.
- Reviews
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“The author, who claims to be both a physicist and a mathematician, offers a useful and fascinating book which should be of interest and useful to professional mathematicians and students of both mathematics and physics. It is dedicated to prominent mathematical physicists who passed away recently: Rudolf Haag, Daniel Kastler, Uffe Haagerup, Raymond Stora, and John Roberts ... . The book intends to be pedagogical and self-contained. It establishes the mathematical foundation of perturbation theory in a convincing manner.” (Gert Roepstorff, zbMATH 1347.81011, 2016)
- Table of contents (8 chapters)
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Introduction
Pages 1-2
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Algebraic Approach to Quantum Theory
Pages 3-37
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Kinematical Structure
Pages 39-58
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Classical Theory
Pages 59-81
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Deformation Quantization
Pages 83-93
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Table of contents (8 chapters)
- Download Sample pages 2 PDF (447.6 KB)
- Download Table of contents PDF (102.1 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Perturbative Algebraic Quantum Field Theory
- Book Subtitle
- An Introduction for Mathematicians
- Authors
-
- Kasia Rejzner
- Series Title
- Mathematical Physics Studies
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- The Author(s)
- eBook ISBN
- 978-3-319-25901-7
- DOI
- 10.1007/978-3-319-25901-7
- Hardcover ISBN
- 978-3-319-25899-7
- Softcover ISBN
- 978-3-319-79857-8
- Series ISSN
- 0921-3767
- Edition Number
- 1
- Number of Pages
- XI, 180
- Number of Illustrations
- 4 b/w illustrations
- Topics
