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Theoretical and Mathematical Physics

Renormalization

An Introduction

Authors: Salmhofer, Manfred

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About this Textbook

This book provides a simple, but mathematically rigorous, introduction to perturbative renormalization. It can be read by students from the third year on and will leads them to a level where they can start reading the current research literature. The book gives a thorough introduction to the field-theoretic techniques required for renormalization. Special effort has been devoted to simplifying combinatorial proofs as much as possible by using generating function techniques. A renormalization group differential equation is used to study the flow of Wilson's effective action. This differential equation technique, developed during the last few years, is used to give simple but complete proofs of renormalizability theorems. The book contains an introduction to renormalization in models of solid-state physics.

Reviews

From the reviews
"In summary, this is an excellent reference text for anyone interested in the mathematical formulation of renormalization and quantum field theory and should be seriously considered as an addition to a professional or university library." (A.G. Williams, The Physicist, 1999)

"This book concentrates very much on the technical matters one has to be aware of in order to perform an actual calculation, and explains all elementary steps of the method. In spite of that, the author also finds the opportunity to clarify the physical situation behind. He also points out the similarities and connections that exist between different branches of theoretical physics like statistical mechanics of polymers, critical phenomena, and field theories, where renormalization methods are usually applied." (M. Benedict, Acta Scientiarum Mathematicarum, 2000)

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-662-03873-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-3-540-64666-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $74.99
price for USA in USD
  • ISBN 978-3-642-08430-0
  • 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
Renormalization
Book Subtitle
An Introduction
Authors
Series Title
Theoretical and Mathematical Physics
Copyright
1999
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03873-4
DOI
10.1007/978-3-662-03873-4
Hardcover ISBN
978-3-540-64666-2
Softcover ISBN
978-3-642-08430-0
Series ISSN
1864-5879
Edition Number
1
Number of Pages
X, 231
Topics

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