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General Principles of Quantum Field Theory

  • N. N. Bogolubov
  • A. A. Logunov
  • A. I. Oksak
  • I. T. Todorov

Part of the Mathematical Physics and Applied Mathematics book series (MPAM, volume 10)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Elements of Functional Analysis and the Theory of Functions

    1. Front Matter
      Pages 1-2
    2. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 3-45
    3. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 46-117
    4. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 118-169
    5. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 170-196
    6. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 197-230
  3. Relativistic Quantum Systems

    1. Front Matter
      Pages 231-232
    2. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 233-269
    3. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 270-317
  4. Local Quantum Fields and Wightman Functions

    1. Front Matter
      Pages 318-320
    2. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 321-358
    3. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 359-416
    4. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 417-449
    5. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 450-483
  5. Collision Theory. Axiomatic Theory of the S-Matrix

    1. Front Matter
      Pages 484-485
    2. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 486-502
    3. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 503-529
    4. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 530-545
  6. Causality and the Spectral Property: The Origins of the Analytic Properties of the Scattering Amplitude

    1. Front Matter
      Pages 546-547
    2. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 548-573
    3. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 574-607
    4. N. N. Bogolubov, A. A. Logunov, A. I. Oksak, I. T. Todorov, G. G. Gould
      Pages 608-625
  7. Back Matter
    Pages 626-695

About this book

Introduction

The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe­ nomenological" Lagrangians.

Keywords

Cross section Dirac equation Observable Quark Second quantization classification statistics

Editors and affiliations

  • N. N. Bogolubov
    • 1
  • A. A. Logunov
    • 1
  • A. I. Oksak
    • 2
  • I. T. Todorov
    • 3
  1. 1.U.S.S.R. Academy of Sciences and Moscow State UniversityU.S.S.R.
  2. 2.Institute for High Energy PhysicsMoscowU.S.S.R.
  3. 3.Bulgarian Academy of Sciences and Bulgarian Institute for Nuclear Research and Nuclear EnergySofiaBulgaria

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0491-0
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6707-2
  • Online ISBN 978-94-009-0491-0
  • Buy this book on publisher's site