The Gauge Theoretic Breakthrough?

  • M. A. B. Bég
Part of the Studies in the Natural Sciences book series (SNS, volume 5)


After several years of relative tranquility, Particle Physics is once again in a state of considerable agitation. The excitement centers around the subject of spontaneously broken gauge theories,1 a subject which has its origins in the seminal contributions of Weinberg,2 in 1967, and Salam,3 in 1968. These authors revived the old notion that weak interactions and electromagnetism have a common origin in a (nonabelian) gauge principle4 but made a break with the past in suggesting that the full gauge symmetry be broken spontaneously,5 a la Higgs and Kibble, to the level of electromagnetic gaugeinvariance. The hope was that the so-called Higgs mechanism would permit the theory to retain enough memory of the gauge group to stay renormalizable — in contrast to the situation in which one breaks the symmetry manifestly by explicit insertion of mass terms in the Lagrangian. This hope found fulfillment6 in the work of ‘t Hooft,’ t Hooft and Veltman, B. W. Lee and Lee and Zinn-Justin.


Gauge Theory Gauge Group Weak Interaction Vector Meson Goldstone Boson 
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  1. 1.
    For a recent review see, M. A. B. Beg and A. Sirlin, “Gauge Theories of Weak Interactions”, Rockefeller University Report No. C00-2232B-47 (1974). (To be published in the Annual Reviews of Nuclear Science, Vol. 24.)Google Scholar
  2. 2.
    S. Weinberg, Phys. Rev. Letters 19, 1264 (1967).ADSCrossRefGoogle Scholar
  3. 3.
    A. Salam, Proceedings of the Eighth Nobel Symposium (John Wiley, N. Y., 1968).Google Scholar
  4. 4.
    J. Schwinger, Ann. Phys. (N.Y.) 2, 407 (1957)MathSciNetADSMATHCrossRefGoogle Scholar
  5. S. L. Glashow, Nucl. Phys. 22, 579 (1961)CrossRefGoogle Scholar
  6. A. Salam and J. C. Ward, Physics Letters 13, 168 (1964).MathSciNetADSMATHCrossRefGoogle Scholar
  7. 5.
    P. W. Higgs, Phys. Letters 12, 132 (1964)ADSCrossRefGoogle Scholar
  8. 5.
    P. W. Higgs, Phys. Rey. Letters 13, 508 (1964)MathSciNetADSCrossRefGoogle Scholar
  9. 5.
    P. W. Higgs, Phys. Rev. 145, 1156 (1966).MathSciNetADSCrossRefGoogle Scholar
  10. See also F. Englert and R. Brout, Phys. Rev. Letters 13, 321 (1964)MathSciNetADSCrossRefGoogle Scholar
  11. G. S. Guralnik, C. R. Hagen and T. W. B. Kibble, Phys. Rev. Letters 13, 585 (1964)ADSCrossRefGoogle Scholar
  12. T. W. B. Kibble, Phys. Rev. 155, 1554 (1967).ADSCrossRefGoogle Scholar
  13. 6.
    G. ‘t Hooft, Nucl. Phys.’ B33, 173 (1971); ibid, B25, 167 (1971)ADSCrossRefGoogle Scholar
  14. G. ‘t Hooft and M. Veltman, Nucl. Phys.’ B50, 318 (1972)CrossRefGoogle Scholar
  15. B. W. Lee, Phys. Rev. D5, 823 (1972)ADSGoogle Scholar
  16. B. W. Lee and J. Zinn-Justin, Phys. Rev. D5, 3121, 3137 and 3155 (1973); ibid, D1, 1049 (1973).ADSGoogle Scholar
  17. 7.
    For a review of the situation as of September 1972 see: B. W. Lee, Proceedings of XVI Int. Conf. on High Energy Physics, NAL (1972).Google Scholar
  18. 8.
    H. D. Politzer, Phys. Rev. Letters 30, 1346 (1973)ADSCrossRefGoogle Scholar
  19. D. Gross and F. Wilczek, Phys. Rev. Letters 30, 1343 (1973).ADSCrossRefGoogle Scholar
  20. 9.
    See also the presentation of these topics in: M. A. B. Bég, Lectures delivered at the 1970 Brookhaven Summer School, BNL Report No. 15732 (1970) p. 321.Google Scholar
  21. 10.
    M. Gell-Mann, Phys. Rev. 125, 1067 (1962) and Phys. Letters 8, 214 (1964).MathSciNetADSMATHCrossRefGoogle Scholar
  22. 11.
    A. M. Sachs and A. Sirlin, “Muon Decay”, Contribution to “Muon Physics”, edited by V. H. Hughes and C. S. Wu (.to be publi shed).Google Scholar
  23. 12.
    See e.g. B. Stech, Proc. of the II Int. Conf. on Elementary Particle Physics, Aix-en-Provence (1973).Google Scholar
  24. 13.
    R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958)MathSciNetADSMATHCrossRefGoogle Scholar
  25. S. Gerstein and J. Zeldovich, Zh. Ersperim. i Teor. Fiz. 29, 698 (1955). [Translation: JETP 2, 575 (1956)].Google Scholar
  26. 14.
    M. Gell-Mann, Physics 1, 63 (1964).Google Scholar
  27. 15.
    J. Bernstein, S. Fubini, M. Gell-Mann and W. Thirring, Nuovo Cim. 17, 757 (1960)MathSciNetMATHCrossRefGoogle Scholar
  28. Y. Nambu, Phys. Rev. Letters 4, 380 (1960)ADSCrossRefGoogle Scholar
  29. Chuo Kuang-Chao, JETP 12, 492 (1961).Google Scholar
  30. 16.
    W. C. Carrithers et. al., Phys. Rev. Letters 30, 1336 (1973).ADSCrossRefGoogle Scholar
  31. 17.
    M. A. B. Bég, Phys. Rev. 132, 426 (1963)ADSCrossRefGoogle Scholar
  32. M. L. Sehgal, Nuovo Cim. 45, 785 (1966) and Phys. Rev. 183, 1511 (1969).ADSCrossRefGoogle Scholar
  33. 18.
    A. Sirlin, Acta Physica Austriaca Suppl. V, 353 (1968) and Proceedings of the Topical Conference on Weak Interactions, CERN, Geneva, p. 409 (1969).Google Scholar
  34. 19.
    E. Abers, D. Dicus and R. Norton, Phys. Rev. Letters 18, 676 (1967).ADSCrossRefGoogle Scholar
  35. E. Abers, D. Dicus, R. Norton and H. Quinn, Phys. Rev. 167, 1461 (1968).ADSCrossRefGoogle Scholar
  36. 20.
    c. f. W. Heisenberg, Z. fur Phys. 101, 533 (1936)ADSMATHCrossRefGoogle Scholar
  37. W. Heisenberg, Ann. der Physik 32, 20 (1938).ADSCrossRefGoogle Scholar
  38. 21.
    F. E. Lov, Comments in Nuc. and Part. Phys. 2, 33 (1968).Google Scholar
  39. 22.
    W. Zimmerman, Springer Tracts in Modern Physics 50, 143 (1969).Google Scholar
  40. 23.
    T. D. Lee, Nuovo Cim. 59A, 579 (1969).ADSCrossRefGoogle Scholar
  41. 24.
    See e.g. M. Gell-Mann, M. L. Goldberger, N. M. Kroll and F. E. Low, Phys. Rev. 179, 1518 (1969).ADSCrossRefGoogle Scholar
  42. 25.
    C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954)MathSciNetADSCrossRefGoogle Scholar
  43. R. Utiyama, Phys. Rev. 101, 1597 (1956).MathSciNetADSMATHCrossRefGoogle Scholar
  44. 26.
    R. P. Feynman, Acta Phys. Polonica 24, 697 (1963)MathSciNetGoogle Scholar
  45. B. S. DeWitt, Phys. Rev. Letters 12, 742 (1964)MathSciNetADSCrossRefGoogle Scholar
  46. B. S. DeWitt, Phys. Rev. 162, 1195 and 1239 (1967)ADSCrossRefGoogle Scholar
  47. S. Mandelstam, Phys. Rev. 175, 1580, 1604 (1968)ADSCrossRefGoogle Scholar
  48. L. D. Faddeev and V. N. Popov, Phys. Letters 25B, 29 (1967)ADSGoogle Scholar
  49. L. D. Faddeev, Theor. and Math. Phys. 1, 3 (1969) [English translation: Theor. and Math. Phys. 1, 1 (1970)].MathSciNetADSCrossRefGoogle Scholar
  50. E. S. Fradkin and I. V. Tyutin, Phys. Rev. D2, 2841 (1970)MathSciNetADSGoogle Scholar
  51. M. Veltman, Nuc. Phys. B21, 288 (1970)ADSGoogle Scholar
  52. R. L. Mills, Phys. Rev. D3, 2960 (1971)ADSGoogle Scholar
  53. R. K. Mohapatra, Phys. Rev. D4, 378, 1007, 2215 (1971); ibid, D5, 417 (1972)ADSGoogle Scholar
  54. S. Weinberg, Phys. Rev. D7, 1068 (1973) and L. F. Li, ibid, 3815 (1973).ADSGoogle Scholar
  55. 27.
    J. Goldstone, A. Salam and S. Weinberg, Phys. Rev. 127, 965 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  56. 28.
    C. Bouchiat, J. Iliopoulos and Ph. Meyer, Phys. Letters 38B, 519 (1972).ADSGoogle Scholar
  57. 29.
    D. Gross and R. Jackiw, Phys. Rev. D6, 477 (1972)ADSGoogle Scholar
  58. H. Georgi and S. L. Glashow, Phys. Rev. D6, 429 (1972).ADSGoogle Scholar
  59. 30.
    S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D2, 1285 (1970).ADSGoogle Scholar
  60. 31.
    B. W. Lee, Phys. Rev. D6, 1188 (1972)ADSGoogle Scholar
  61. J. Prentki and B. Zumino, Nucl. Phys. B47, 99 (1972).ADSCrossRefGoogle Scholar
  62. 32.
    H. Georgi and S. L. Glashow, Phys. Rev. Letters 28, 1494 (1972).ADSCrossRefGoogle Scholar
  63. 33.
    F. J. Hasert et. al., Phys. Lett. 46B, 138 (1973) and Nuc. Phys. B. (to be published).ADSGoogle Scholar
  64. 34.
    J. C. Pati and A. Salam, Phys. Rev. D8, 1240 (1973).ADSGoogle Scholar
  65. 35.
    M. A. B. Bég and A. Zee, Phys. Rev. Letters 30, 675 (1973).ADSCrossRefGoogle Scholar
  66. 36.
    J. C. Pati and A. Salam, Phys. Rev. Letters 31, 661 (1973)ADSCrossRefGoogle Scholar
  67. H. Georgi and S. L. Glashow, Phys. Rev. Letters 32, 438 (1974).ADSCrossRefGoogle Scholar
  68. 37.
    K. Symanzik, in “Fundamental Interactions at High Energies II”, eds. A. Perlmutter, R. W. Williams and G. J. Iverson (Gordon and Breech, N. Y., (1972)).Google Scholar
  69. 38.
    See e.g. M. A. B. Beg, Phys. Rev. D8, 664 (1973).ADSGoogle Scholar
  70. 39.
    M. A. B. Bég, Phys. Letters (in press).Google Scholar

Copyright information

© Plenum Press, New York 1974

Authors and Affiliations

  • M. A. B. Bég
    • 1
  1. 1.The Rockefeller UniversityNew YorkUSA

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