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Progress in Mathematical Physics

From Classical Field Theory to Perturbative Quantum Field Theory

Authors: Dütsch, Michael

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  • A novel approach to perturbative quantum field theory
  • Approach is conceptually clear, mathematically rigorous and pragmatically useful for physicists
  • Presents mathematically stimulating discussions and physically interesting formulations
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  • ISBN 978-3-030-04738-2
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About this book

This book develops a novel approach to perturbative quantum field theory: starting with a perturbative formulation of classical field theory, quantization is achieved by means of deformation quantization of the underlying free theory and by applying the principle that as much of the classical structure as possible should be maintained.

The resulting formulation of perturbative quantum field theory is a version of the Epstein-Glaser renormalization that is conceptually clear, mathematically rigorous and pragmatically useful for physicists. The connection to traditional formulations of perturbative quantum field theory is also elaborated on, and the formalism is illustrated in a wealth of examples and exercises.

Reviews

“This book is a wonderful piece of scholarship, aimed at an audience of serious and correspondingly well-prepared mathematical physicists, or even mathematicians interested in this marvelous material and willing to play the long game.” (Michael Berg, MAA Reviews, September 15, 2019)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $74.99
$109.00 (listprice)
price for USA in USD (gross)
valid through July 31, 2020
  • ISBN 978-3-030-04738-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
$139.99 (listprice)
price for USA in USD
valid through July 31, 2020
  • ISBN 978-3-030-04737-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
From Classical Field Theory to Perturbative Quantum Field Theory
Authors
Series Title
Progress in Mathematical Physics
Series Volume
74
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-04738-2
DOI
10.1007/978-3-030-04738-2
Hardcover ISBN
978-3-030-04737-5
Series ISSN
1544-9998
Edition Number
1
Number of Pages
XXI, 536
Topics

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