Mathematical Physics and Applied Mathematics

General Principles of Quantum Field Theory

Authors: Bogolubov, N.N., Logunov, A.A., Oksak, A.I., Todorov, I.

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About this book

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.

Table of contents (17 chapters)

  • Preliminaries on Functional Analysis

    Bogolubov, N. N. (et al.)

    Pages 3-45

  • The Technique of Generalized Functions

    Bogolubov, N. N. (et al.)

    Pages 46-117

  • Lorentz-Covariant Generalized Functions

    Bogolubov, N. N. (et al.)

    Pages 118-169

  • The Jost-Lehmann-Dyson Representation

    Bogolubov, N. N. (et al.)

    Pages 170-196

  • Analytic Functions of Several Complex Variables

    Bogolubov, N. N. (et al.)

    Pages 197-230

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-009-0491-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-7923-0540-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.00
price for USA
  • ISBN 978-94-010-6707-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
General Principles of Quantum Field Theory
Authors
Series Title
Mathematical Physics and Applied Mathematics
Series Volume
10
Copyright
1990
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-94-009-0491-0
DOI
10.1007/978-94-009-0491-0
Hardcover ISBN
978-0-7923-0540-8
Softcover ISBN
978-94-010-6707-2
Edition Number
1
Number of Pages
XIX, 695
Additional Information
Originally published in Russian
Topics