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Renormalization

An Introduction

  • Manfred Salmhofer

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-X
  2. Manfred Salmhofer
    Pages 1-26
  3. Manfred Salmhofer
    Pages 27-62
  4. Manfred Salmhofer
    Pages 63-112
  5. Manfred Salmhofer
    Pages 113-179
  6. Back Matter
    Pages 181-233

About this book

Introduction

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.

Keywords

Boson Dirac equation Feyman graph expansion Helium-Atom-Streuung PED REM Renormalization group renormalization

Authors and affiliations

  • Manfred Salmhofer
    • 1
  1. 1.MathematikETH-ZentrumZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03873-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08430-0
  • Online ISBN 978-3-662-03873-4
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site
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