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Renormalization Theory

Proceedings of the NATO Advanced Study Institute held at the International School of Mathematical Physics at the ‘Ettore Majorana’ Centre for Scientific Culture in Erice (Sicily) Italy, 17–31 August, 1975

  • Conference proceedings
  • © 1976

Overview

Editors:
  1. G. Velo

    1. International School of Mathematics Physics, Bologna, Italy

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  2. A. S. Wightman

    1. Dept. of Physics, Princeton University, Princeton, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 23)

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Table of contents (15 papers)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Orientation

    • A. S. Wightman
    Pages 1-24

  3. Dimensional and Analytic Renormalization

    • Eugene R. Speer
    Pages 25-93

  4. BPHZ Renormalization

    • John H. Lowenstein
    Pages 95-160

  5. Remark on Equivalent Formulations for Bogoliubov’s Method of Renormalization

    • Wolfhart Zimmermann
    Pages 161-170

  6. The Power Counting Theorem for Feynman Integrals with Massless Propagators

    • W. Zimmermann
    Pages 171-184

  7. Some Results on Dimensional Renormalization

    • P. Breitenlohner, D. Maison
    Pages 185-192

  8. Adiabatic Limit in Perturbation Theory

    • H. Epstein, V. Glaser
    Pages 193-254

  9. Existence of Green’s Functions in Perturbative Q. E. D.

    • R. Seneor
    Pages 255-267

  10. Gauge Field Models

    • C. Becchi, R. Stora, A. Rouet
    Pages 269-297

  11. Renormalizable Models with Broken Symmetries

    • C. Becchi, A. Rouet, R. Stora
    Pages 299-343

  12. Renormalized Perturbation Theory: Achievements, Limitations and Open Problems

    • B. Schroer
    Pages 345-369

  13. Quantum Sine-Gordon Equation and Quantum Solitons in Two Space-Time Dimensions

    • Jürg Fröhlich
    Pages 371-414

  14. Non-Perturbative Renormalization in the Yukawa Model In Two Dimensions

    • E. Seiler
    Pages 415-433

  15. The Non-Perturbative Renormalization Of (λϕ4)3

    • Joel S. Feldman
    Pages 435-460

  16. Non-Renormalizable Quantum Field Theories

    • K. Pohlmeyer
    Pages 461-482
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Keywords

About this book

The present volume collects lecture notes from the session of the International School of Mathematical Physics 'Ettore Majorana' on Renormalization Theory that took place in Erice (Sicily), August 17 to August 31, 1975. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Minis­ try of Scientific and Technological Research, and the Regional Sicilian Government. Renormalization theory has, by now, acquired forty years of history. The present volume assumes a general acquaintance with the elementary facts of the subject as they might appear in an introductory course in quantum field theory. For more recent significant developments it provides a systematic intro­ duction as well as a detailed discussion of the existing state of knowledge. In particular analytic and dimensional renorma­ lization, normal product technique, and the Bogoliubov-Shirkov­ Epstein-Glaser method are treated, with applications to physically important gauge theories. All the preceding deals with perturbative renormalization theory. In recent years there has been an interesting development of non-perturbative renormalization theory in models in space-times of two and three dimensions, with the use of the methods of constructive field theory. Despite the simplicity of these models, the results are of significance because they are exact and answer a number of questions of principle. There are parts of renormalization theory which are not well understood, for instance the renormalization theory of non-renormalizable interactions.

Editors and Affiliations

  • International School of Mathematics Physics, Bologna, Italy

    G. Velo

  • Dept. of Physics, Princeton University, Princeton, USA

    A. S. Wightman

Bibliographic Information

  • Book Title: Renormalization Theory

  • Book Subtitle: Proceedings of the NATO Advanced Study Institute held at the International School of Mathematical Physics at the ‘Ettore Majorana’ Centre for Scientific Culture in Erice (Sicily) Italy, 17–31 August, 1975

  • Editors: G. Velo, A. S. Wightman

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-010-1490-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1976

  • Hardcover ISBN: 978-90-277-0689-8Published: 31 December 1975

  • Softcover ISBN: 978-94-010-1492-2Published: 12 October 2011

  • eBook ISBN: 978-94-010-1490-8Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: VII, 482

  • Topics: Theoretical, Mathematical and Computational Physics

  • Industry Sectors: Aerospace, Electronics, Energy, Utilities & Environment, IT & Software

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