© 2000

Perturbative Quantum Electrodynamics and Axiomatic Field Theory


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

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introduction

    1. Othmar Steinmann
      Pages 1-4
  3. What Is Quantum Electrodynamics?

    1. Front Matter
      Pages 5-5
    2. Othmar Steinmann
      Pages 7-17
    3. Othmar Steinmann
      Pages 19-24
    4. Othmar Steinmann
      Pages 39-66
    5. Othmar Steinmann
      Pages 67-83
    6. Othmar Steinmann
      Pages 85-91
  4. Perturbation Theory

    1. Front Matter
      Pages 93-93
    2. Othmar Steinmann
      Pages 95-108
    3. Othmar Steinmann
      Pages 109-134
    4. Othmar Steinmann
      Pages 135-163
    5. Othmar Steinmann
      Pages 165-186
    6. Othmar Steinmann
      Pages 187-210
  5. Particles and Their Reactions

    1. Front Matter
      Pages 211-211
    2. Othmar Steinmann
      Pages 213-220
    3. Othmar Steinmann
      Pages 221-237
    4. Othmar Steinmann
      Pages 239-281
    5. Othmar Steinmann
      Pages 283-319

About this book


This book demonstrates that fundamental concepts and methods from phenomenological particle physics can be derived rigorously from well-defined general assumptions in a mathematically clean way. Starting with the Wightman formulation of relativistic quantum field theory, the perturbative formulation of quantum electrodynamics is derived avoiding the usual formalism based on the canonical commutation relations. A scattering formalism based on the local-observables approach is developed, directly yielding expressions for the observable inclusive cross-sections without having to introduce the S-matrix. Neither ultraviolet nor infrared regularizations are required in this approach. Although primarily intended for researchers working in this field, anyone with a basic working knowledge of relativistic quantum field theory can benefit from this book.


Abelian Gauge Theory Cross section Field Theory Particle Physics Quantum Electrodynamics Quantum Field Theory Relativistic

Authors and affiliations

  1. 1.Fakultät für Physik, Theoretische PhysikUniversität BielefeldBielefeldGermany

Bibliographic information

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"In the authors words: ‘This is a frankly idiosyncratic book.’ Although to some extent it is a general introduction to the basic problems of quantum electrodynamics (QED), this is given from a particular point of view. [...] The main point of view the author takes is that ‘fundamental objects of the theory are quantized fields. Particles play no role in its basic formulation’" (Mathematical Reviews 2002h)