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Supersymmetry and Quasi-Supersymmetry

Published online by Cambridge University Press:  11 November 2009

Y. Nambu
Affiliation:
Enrico Fermi Institute and Department of Physics University of Chicago, Chicago, Illinois 60637
John H. Schwarz
Affiliation:
California Institute of Technology
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Summary

I first met Murray Gell-Mann when he popped up in my office at the Institute for Advanced Study, and described to me the isospin-strangeness rule he had discovered. He pronounced my name correctly and interpreted its meaning correctly. That was September 1953.

The post-War decades have been the Golden Age of particle physics. Theory and experiment went hand in hand to make amazing advances. What we know now about the world of elementary particles is incredibly richer than what we did forty years ago, and we owe this to Murray above all. Looking beyond the Baroque period we are in now, I hope Murray's spirit will come back alive again.

Recently I have been taking a renewed interest in the BCS mechanism as a model for spontaneous generation of fermion mass and associated Goldstone (G) and Higgs (H) collective bosons. Here I mean by a BCS mechanism the formation of fermion pair condensates due to a short range attraction. In an idealized situation, this may be represented by a four-fermion interaction, and the dynamics is essentially determined by the properties of fermion bubble diagrams. A characteristic feature of the bubble approximation is that the Bogoliubov–Valatin (BV) fermion and the Higgs boson have the simple mass ratio 1:2. Such modes are known to exist in superconductors.

These low energy modes can be represented by an effective Ginzburg–Landau– Gell-Mann-Lévy Hamiltonian in which the boson self-coupling and the boson-fermion Yukawa coupling are related so as to satisfy the mass ratios.

Type
Chapter
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Elementary Particles and the Universe
Essays in Honor of Murray Gell-Mann
, pp. 89 - 98
Publisher: Cambridge University Press
Print publication year: 1991

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  • Supersymmetry and Quasi-Supersymmetry
    • By Y. Nambu, Enrico Fermi Institute and Department of Physics University of Chicago, Chicago, Illinois 60637
  • Edited by John H. Schwarz, California Institute of Technology
  • Book: Elementary Particles and the Universe
  • Online publication: 11 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563980.009
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  • Supersymmetry and Quasi-Supersymmetry
    • By Y. Nambu, Enrico Fermi Institute and Department of Physics University of Chicago, Chicago, Illinois 60637
  • Edited by John H. Schwarz, California Institute of Technology
  • Book: Elementary Particles and the Universe
  • Online publication: 11 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563980.009
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Supersymmetry and Quasi-Supersymmetry
    • By Y. Nambu, Enrico Fermi Institute and Department of Physics University of Chicago, Chicago, Illinois 60637
  • Edited by John H. Schwarz, California Institute of Technology
  • Book: Elementary Particles and the Universe
  • Online publication: 11 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511563980.009
Available formats
×