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Rigorous Methods in Particle Physics

  • Book
  • © 1990

Overview

Editors:
  1. Sorin Ciulli
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  2. Florian Scheck
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  3. Walter Thirring
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Part of the book series: Springer Tracts in Modern Physics (STMP, volume 119)

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Table of contents (17 chapters)

  1. Front Matter

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  2. A model for a dia-electric

    • H. Narnhofer, W. Irring
    Pages 1-3

  3. Potential models for quarkonium systems

    • H. Grosse
    Pages 4-13

  4. Some new bounds on the number of bound states

    • K. Chadan, R. Kobayashi
    Pages 14-19

  5. Moment inequalities and a Martin conjecture

    • A.K. Common
    Pages 20-25

  6. On a class of spectral problems admitting partial algebraization

    • G. Auberson
    Pages 26-37

  7. High energy theorems

    • S.M. Roy, V. Singh
    Pages 38-52

  8. Complex angular momentum analysis in axiomatic quantum field theory

    • J. Bros, G.A. Viano
    Pages 53-76

  9. Inverse scattering revisited: Explicit solution of the Marchenko-Martin method

    • N.N. Khuri
    Pages 77-97

  10. The inverse of an inverse problem

    • J. Leon, P.C. Sabotier
    Pages 98-101

  11. Weak-star compactness and its relevance to analyticity problems

    • M. Ciulli, S. Ciulli, T.D. Spearman
    Pages 102-125

  12. Variational improvement of perturbation theory and/or perturbative improvement of variational calculations

    • A. Neveu
    Pages 126-136

  13. A new method for QCD sum rules: The L∞ norm approach

    • G. Mennessier, M.B. Causse, G. Auberson
    Pages 137-157

  14. Bifurcation theory applied to chiral symmetry breaking

    • D. Atkinson
    Pages 158-162

  15. On the scaling behavior of the O(N) σ-model

    • B. Bonnier, M. Hontebeyrie
    Pages 163-167

  16. A conjecture on the possible exact (1+1)-dimensional solutions to the discrete Boltzmann models I

    • H. Cornille
    Pages 168-187

  17. Are heavy Higgs interactions observable at the 100 GeV scale?

    • G. Gounaris, FM. Renard, D. Schildknecht
    Pages 188-201

  18. Geometric approaches to particle physics

    • F. Scheck
    Pages 202-216

  19. Back Matter

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Keywords

About this book

The book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.

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