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23 - The First Gauge Theory of the Weak Interactions

Published online by Cambridge University Press:  03 February 2010

Sidney Bludman
Affiliation:
Born New York City, 1927; Ph.D., 1951 (physics), Yale University; Professor of Physics and Astronomy at the University of Pennsylvania; theoretical particle and astrophysics and cosmology.
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

The electroweak sector of the Standard Model contains three logically and historically distinct elements:

  1. 1. A chiral gauge theory of weak interactions with an exact SU(2)L symmetry;

  2. 2. The Higgs mechanism for spontaneous symmetry breaking, giving some of the gauge bosons finite masses, while maintaining renormalizability;

  3. 3. Electroweak unification through W0B0 mixing by sin θw.5

This report is concerned with the early history of the electroweak sector of the Standard Model. I first recall the history of gauge theories in the 1950s and my own motivation for publishing the first chiral gauge theory of weak interactions, predicting weak neutral currents of exact VA form and approximately the weak strength observed fifteen years later. Then I discuss the evolving appreciation of the fundamental distinctions between global and gauge, partial and exact symmetries, in the weak and strong interactions. Finally, I emphasize that exact gauge symmetry is necessary for the Higgs mechanism for symmetry breaking, but that electroweak unification is not required theoretically: Within the Standard Model, the electroweak mixing angle, sinθw, is not determined, but could have any value, including zero. This leads to an interesting difference between the sin θw = 0 limit of the unified electroweak theory and the original SU(2)w gauge theory of weak interactions alone.

Theoretical consistency requires that a field theory be renormalizable, not necessarily unified.

Type
Chapter
Information
The Rise of the Standard Model
A History of Particle Physics from 1964 to 1979
, pp. 403 - 410
Publisher: Cambridge University Press
Print publication year: 1997

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  • The First Gauge Theory of the Weak Interactions
    • By Sidney Bludman, Born New York City, 1927; Ph.D., 1951 (physics), Yale University; Professor of Physics and Astronomy at the University of Pennsylvania; theoretical particle and astrophysics and cosmology.
  • 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/CBO9780511471094.025
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  • The First Gauge Theory of the Weak Interactions
    • By Sidney Bludman, Born New York City, 1927; Ph.D., 1951 (physics), Yale University; Professor of Physics and Astronomy at the University of Pennsylvania; theoretical particle and astrophysics and cosmology.
  • 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/CBO9780511471094.025
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 First Gauge Theory of the Weak Interactions
    • By Sidney Bludman, Born New York City, 1927; Ph.D., 1951 (physics), Yale University; Professor of Physics and Astronomy at the University of Pennsylvania; theoretical particle and astrophysics and cosmology.
  • 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/CBO9780511471094.025
Available formats
×