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9 - The Path to Renormalizability

Published online by Cambridge University Press:  03 February 2010

Martinus Veltman
Affiliation:
Born Waalwijk, The Netherlands, 1931; Ph.D., 1963 (physics), University of Utrecht; Professor of Physics at the University of Michigan; high-energy physics (theory).
Lillian Hoddeson
Affiliation:
University of Illinois, Urbana-Champaign
Laurie Brown
Affiliation:
Northwestern University, Illinois
Michael Riordan
Affiliation:
Stanford University, California
Max Dresden
Affiliation:
Stanford University, California
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Summary

This is the history of the proof of renormalizability of gauge theories as I perceive it. It is a personal account.

The importance of the proof of renormalizability is well known to all. Personally I have always felt that the proof was much more important than the actual construction of a model, the Standard Model. I felt that, once you knew the recipe, the road to a realistic description of Nature would be a matter of time and experiment. There some may disagree with me; I think, however, that a careful study of the recent history of high-energy physics will lead to this conclusion. Seldom has there been such a clear watershed. Old models, truly “dormant” (as Steven Weinberg put it), became credible and popular. Quantum chromodynamics came into being almost overnight. The proof of renormalizability also provided detailed technical methods such as, for example, suitable regularization methods, next to indispensable for any practical application of the theory. In longer perspective, the developments in supersymmetry and supergravity have been stimulated and enhanced by the renewed respectability of renormalizable field theory (including the absence of anomalies). If anything “turned the wheel,” as SLAC people have put it, it is this proof of renormalizability. Of course, the theory needs experimental verification, and whether people were convinced after the discovery of neutral currents, or after the discovery of charm, or W and Z, is another matter.

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The Rise of the Standard Model
A History of Particle Physics from 1964 to 1979
, pp. 145 - 178
Publisher: Cambridge University Press
Print publication year: 1997

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  • The Path to Renormalizability
    • By Martinus Veltman, Born Waalwijk, The Netherlands, 1931; Ph.D., 1963 (physics), University of Utrecht; Professor of Physics at the University of Michigan; high-energy physics (theory).
  • Edited by Lillian Hoddeson, University of Illinois, Urbana-Champaign, Laurie Brown, Northwestern University, Illinois, Michael Riordan, Stanford University, California, Max Dresden, Stanford University, California
  • Book: The Rise of the Standard Model
  • Online publication: 03 February 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511471094.011
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  • The Path to Renormalizability
    • By Martinus Veltman, Born Waalwijk, The Netherlands, 1931; Ph.D., 1963 (physics), University of Utrecht; Professor of Physics at the University of Michigan; high-energy physics (theory).
  • Edited by Lillian Hoddeson, University of Illinois, Urbana-Champaign, Laurie Brown, Northwestern University, Illinois, Michael Riordan, Stanford University, California, Max Dresden, Stanford University, California
  • Book: The Rise of the Standard Model
  • Online publication: 03 February 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511471094.011
Available formats
×

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.

  • The Path to Renormalizability
    • By Martinus Veltman, Born Waalwijk, The Netherlands, 1931; Ph.D., 1963 (physics), University of Utrecht; Professor of Physics at the University of Michigan; high-energy physics (theory).
  • Edited by Lillian Hoddeson, University of Illinois, Urbana-Champaign, Laurie Brown, Northwestern University, Illinois, Michael Riordan, Stanford University, California, Max Dresden, Stanford University, California
  • Book: The Rise of the Standard Model
  • Online publication: 03 February 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511471094.011
Available formats
×