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Mathematical Physics Studies

Perturbative Algebraic Quantum Field Theory

An Introduction for Mathematicians

Authors: Rejzner, Kasia

  • 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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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-25901-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-25899-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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

“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)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-25901-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-25899-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Perturbative Algebraic Quantum Field Theory
Book Subtitle
An Introduction for Mathematicians
Authors
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
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XI, 180
Number of Illustrations and Tables
4 b/w illustrations
Topics