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Algebraic Renormalization

Perturbative Renormalization, Symmetries and Anomalies

  • Olivier Piguet
  • Silvio P. Sorella
Book

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 28)

Table of contents

About this book

Introduction

This book provides a pedagogical and self-contained introduction to the algebraic method of renormalization in perturbative quantum field theory. This method is based on general theorems of renormalization, in particular on the quantum action principle. It allows us to treat the problems of the renormalizability and the anomalies of models with local or global symmetries in terms of the algebraic properties of classical field polynomials. Several examples (e.g. topological models) are considered in some detail. One of the main advantages of this method, beyond its simplicity, is its great power, because no particular subtraction or regularization scheme preserving the symmetries of the problem is a priori required.

Keywords

Anomalien Anomalies BRS Cohomolgy Cohomologie Eichtheorien Gauge Theories Quantenfeldtheorie Renormalization Renormierung Symmetries homology quantum field theory

Authors and affiliations

  • Olivier Piguet
    • 1
  • Silvio P. Sorella
    • 2
  1. 1.Département de Physique ThéoriqueUniversité de GenèveGenève 4Switzerland
  2. 2.Centro Brasileiro de Pesquisas FisicasUrca Rio de JaneiroBrazil

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-49192-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-59115-3
  • Online ISBN 978-3-540-49192-7
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site