From Classical Field Theory to Perturbative Quantum Field Theory

  • Michael Dütsch

Part of the Progress in Mathematical Physics book series (PMP, volume 74)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Michael Dütsch
    Pages 3-43
  3. Michael Dütsch
    Pages 45-69
  4. Michael Dütsch
    Pages 71-298
  5. Michael Dütsch
    Pages 299-348
  6. Michael Dütsch
    Pages 349-461
  7. Back Matter
    Pages 463-538

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.


deformation quantization classical field theory symmetries quantum electrodynamics renormalization group wave front set

Authors and affiliations

  • Michael Dütsch
    • 1
  1. 1.University of GöttingenGöttingenGermany

Bibliographic information

Industry Sectors
Finance, Business & Banking