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The making of the Standard Model

  • S. Weinberg
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References

  1. 1.
    G. Breit, E.U. Condon, R.D. Present, Phys. Rev. 50, 825 (1936); B. Cassen, E.U. Condon, Phys. Rev. 50, 846 (1936); G. Breit, E. Feenberg, Phys. Rev. 50, 850 (1936). This symmetry was suggested by the discovery of the equality of proton-proton and proton-neutron forces by M.A. Tuve, N. Heydenberg, L.R. Hafstad, Phys. Rev. 50, 806 (1936). Heisenberg had earlier used an isotopic spin formalism, but without introducing any symmetry beyond invariance under interchange of protons and neutronsCrossRefzbMATHGoogle Scholar
  2. 2.
    M. Gell-Mann, Phys. Rev. 92, 833 (1953); T. Nakano, K. Nishijima, Prog. Theor. Phys. 10, 581 (1955)CrossRefGoogle Scholar
  3. 3.
    T. Lee, C.N. Yang, Phys. Rev. 104, 254 (1956); C.S. Wu et al. Phys. Rev. 105, 1413 (1957); R. Garwin, M. Lederman, M. Weinrich, Phys. Rev. 105, 1415 (1957); J.I. Friedman, V.L. Telegdi, Phys. Rev. 105, 1681CrossRefGoogle Scholar
  4. 4.
    J.H. Christensen, J.W. Cronin, V.L. Fitch, R. Turlay, Phys. Rev. Lett. 13, 138 (1964)CrossRefGoogle Scholar
  5. 5.
    M. Gell-Mann, Cal. Tech. Synchrotron Lab Report CTSL-20 (1961); Y. Ne’eman, Nucl. Phys. 26, 222 (1961)CrossRefGoogle Scholar
  6. 6.
    M. Gell-Mann, Phys. Lett. 8, 214 (1964); G. Zweig, CERN preprint TH401 (1964). Earlier, it had been suggested that baryon number should be included in the hadron symmetry group by expanding SU(3) to U(3) rather than SU(3) \(\times \) U(1), with each lower or upper index in a tensor representation of U(3) carrying a baryon number 1/3 or −1/3, respectively, by H. Goldberg, Y. Ne’eman, Nuovo Cimento 27, 1 (1963)Google Scholar
  7. 7.
    E.D. Bloom et al. , Phys. Rev. Lett. 23, 930 (1969); M. Briedenbach et al. , Phys. Rev. Lett. 23, 935 (1969); J.L. Friedman, H.W. Kendall, Ann. Rev. Nucl. Sci. 22, 203 (1972)CrossRefGoogle Scholar
  8. 8.
    J.D. Bjorken, Phys. Rev. 179, 1547 (1969); R.P. Feynman, Phys. Rev. Lett. 23, 1415 (1969)CrossRefGoogle Scholar
  9. 9.
    C.N. Yang, R.L. Mills, Phys. Rev. 96, 191 (1954)CrossRefMathSciNetGoogle Scholar
  10. 10.
    B. de Witt, Phys. Rev. Lett. 12, 742 (1964); Phys. Rev. 162, 1195 (1967); L.D. Faddeev, V.N. Popov, Phys. Lett. B 25, 29 (1967); also see R.P. Feynman, Acta Phys. Pol. 24, 697 (1963); S. Mandelstam, Phys. Rev. 175, 1580, 1604 (1968)CrossRefGoogle Scholar
  11. 11.
    E.C.G. Sudarshan, R.E. Marshak, in Proceedings of the Padua-Venice Conference on Mesons and Recently Discovered Particles, p. v-14 (1957); Phys. Rev. 109, 1860 (1958); R.P. Feynman, M. Gell-Mann, Phys. Rev. 109, 193 (1958)Google Scholar
  12. 12.
    J. Schwinger, Ann. Phys. 2, 407 (1957); T.D. Lee, C.N. Yang, Phys. Rev. 108, 1611 (1957); 119, 1410 (1960); S. Bludman, Nuovo Cimento 9, 433 (1958); J. Leite-Lopes, Nucl. Phys. 8. 234 (1958); S.L. Glashow, Nucl. Phys. 22, 519 (1961); A. Salam, J.C. Ward, Phys. Lett. 13, 168 (1964)MathSciNetzbMATHGoogle Scholar
  13. 13.
    A. Komar, A. Salam, Nucl. Phys. 21, 624 (1960); H. Umezawa and S. Kamefuchi, Nucl. Phys. 23, 399 (1961); S. Kamefuchi, L. O’ Raifeartaigh, A. Salam, Nucl. Phys. 28, 529 (1961); A. Salam, Phys. Rev. 127, 331 (1962); M. Veltman, Nucl. Phys. B 7, 637 (1968); Nucl. Phys. 21, 288 (1970); D. Boulware, Ann. Phys. 56, 140 (1970)CrossRefGoogle Scholar
  14. 14.
    W. Heisenberg, lecture “What is an Elementary Particle?” to the German Physical Society on March 5, 1975, reprinted in English translation in Encounters with Einstein And Other Essays of People, Places, and Particles (Princeton University Press, 1983)Google Scholar
  15. 15.
    J. Goldstone, Nuovo Cimento 19, 154 (1961)zbMATHGoogle Scholar
  16. 16.
    J. Goldstone, A. Salam, S. Weinberg, Phys. Rev. 127, 965 (1962)CrossRefzbMATHGoogle Scholar
  17. 17.
    P.W. Higgs, Phys. Lett. 12, 132 (1964); Phys. Lett. 13, 508 (1964); Phys. Rev. 145, 1156 (1966). Also see G. S. Guralnik, C. Hagen, T.W.B. Kibble, Phys. Rev. Lett. 13, 585 (1964)CrossRefGoogle Scholar
  18. 18.
    F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964)CrossRefGoogle Scholar
  19. 19.
    P.M. Anderson, Phys. Rev. 130, 439 (1963)CrossRefzbMATHGoogle Scholar
  20. 20.
    M.L. Goldberger, S.B. Treiman, Phys. Rev. 111, 354 (1958)CrossRefzbMATHGoogle Scholar
  21. 21.
    M. Gell-Mann, M. Lévy, Nuovo Cimento 16, 705 (1960); J. Bernstein, S. Fubini, M. Gell-Mann, W. Thirring, Nuovo Cimento 17, 757 (1960); K-C. Chou, Soviet Physics JETP 12, 492 (1961)zbMATHGoogle Scholar
  22. 22.
    Y. Nambu, Phys. Rev. Lett. 4, 380 (1960)CrossRefGoogle Scholar
  23. 23.
    Y. Nambu, G. Jona-Lasinio, Phys. Rev. 122, 345 (1961)CrossRefGoogle Scholar
  24. 24.
    Y. Nambu, D. Lurie, Phys. Rev. 125, 1429 (1962); Y. Nambu and E. Shrauner, Phys. Rev. 128, 862 (1962). These predictions were generalized by S. Weinberg, Phys. Rev. Lett. 16, 879 (1966)CrossRefGoogle Scholar
  25. 25.
    J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957)zbMATHGoogle Scholar
  26. 26.
    M. Gell-Mann, Physics 1, 63 (1964)Google Scholar
  27. 27.
    S.L. Adler, Phys. Rev. Lett. 14, 1051 (1965); Phys. Rev. B 140, 736 (1965); W.I. Weisberger, Phys. Rev. Lett. 14, 1047 (1965); Phys. Rev. 143, 1302 (1965)CrossRefzbMATHGoogle Scholar
  28. 28.
    S. Weinberg, Phys. Rev. Lett. 17, 616 (1966); Y. Tomozawa, Nuovo Cimento A 46, 707 (1066)CrossRefGoogle Scholar
  29. 29.
    S. Weinberg, [28]Google Scholar
  30. 30.
    S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967)CrossRefGoogle Scholar
  31. 31.
    A. Salam, in Elementary Particle Physics, N. Svartholm, ed. (Nobel Symposium No. 8, Almqvist & Wiksell, Stockholm, 1968), p. 367Google Scholar
  32. 32.
    This work was briefly reported in [33, footnote 7]Google Scholar
  33. 33.
    S. Weinberg, Phys. Rev. Lett. 18, 507 (1967)CrossRefGoogle Scholar
  34. 34.
    T.W.B. Kibble, Phys. Rev. 155, 1554 (1967)CrossRefGoogle Scholar
  35. 35.
    T.D. Lee, C.N. Yang, Phys. Rev. 98, 101 (1955)CrossRefGoogle Scholar
  36. 36.
    S. Weinberg, Phys. Rev. D 19, 1277 (1979); L. Susskind, Phys. Rev. D 19, 2619 (1979)CrossRefGoogle Scholar
  37. 37.
    R.P. Feynman, The Principle of Least Action in Quantum Mechanics (Princeton University Ph.D. thesis, 1942; University Microfilms Publication No. 2948, Ann Arbor.) This work was in the context of non-relativistic quantum mechanics. Feynman later applied this formalism to the Dirac theory of electrons, but its application to a full-fledged quantum field theory was the work of other authors, including some of those in [10]Google Scholar
  38. 38.
    I reported this work later in Phys. Rev. Lett. 27, 1688 (1971) and described it in more detail in Phys. Rev. D 7, 1068 (1973)Google Scholar
  39. 39.
    See L. Stuller, M.I.T. Ph.D. thesis (1971)Google Scholar
  40. 40.
    G. ‘t Hooft, Nucl. Phys. B 35, 167 (1971)CrossRefGoogle Scholar
  41. 41.
    B.W. Lee, J. Zinn-Justin, Phys. Rev. D 5, 3121, 3137, 3155 (1972)CrossRefGoogle Scholar
  42. 42.
    G. ‘t Hooft, M. Veltman, Nucl. Phys. B 44, 189 (1972); Nucl. Phys. B 50. 318 (1972)CrossRefGoogle Scholar
  43. 43.
    C. Becchi, A. Rouet, R. Stora, Commun. Math. Phys. 42, 127 (1975);Ann. Phys. 98, 287 (1976); I.V. Tyutin, Lebedev Institute preprint N39 (1975)Google Scholar
  44. 44.
    B.W. Lee, Phys. Rev. D 5, 823 (1972)CrossRefGoogle Scholar
  45. 45.
    S. Weinberg, Physica A 96, 327 (1979)CrossRefGoogle Scholar
  46. 46.
    G. Gamow, E. Teller, Phys. Rev. 51, 289L (1937); N. Kemmer, Phys. Rev. 52, 906 (1937); G. Wentzel, Helv. Phys. Acta 10, 108 (1937)CrossRefGoogle Scholar
  47. 47.
    S. Weinberg, Phys. Rev. 5, 1412 (1972)CrossRefGoogle Scholar
  48. 48.
    D.C. Cundy et al. , Phys. Lett. B 31, 478 (1970)CrossRefGoogle Scholar
  49. 49.
    F.J. Hasert et al. , Phys. Lett. B 46, 121, 138 (1973); P. Musset et al. , J. Phys. (Paris) 11/12, T34 (1973)CrossRefGoogle Scholar
  50. 50.
    L.L. Lewis et al. , Phys. Rev. Lett. 39, 795 (1977); P.E.G. Baird et al. , Phys. Rev. Lett. 39, 798 (1977)CrossRefGoogle Scholar
  51. 51.
    C.Y. Prescott et al. , Phys. Lett. 77B, 347 (1978)CrossRefGoogle Scholar
  52. 52.
    D.J. Gross, F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973); H.D. Politzer, Phys. Rev. Lett. 30, 1346 (1973)CrossRefGoogle Scholar
  53. 53.
    M. Gell-Mann, F.E. Low, Phys. Rev. 95, 1300 (1954)CrossRefMathSciNetzbMATHGoogle Scholar
  54. 54.
    C.G. Callan, Phys. Rev. D 2, 1541 (1970); K. Symanzik, Commun. Math. Phys. 18, 227 (1970); C.G. Callan, S. Coleman, R. Jackiw, Ann. of Phys. (New York) 47, 773 (1973)CrossRefGoogle Scholar
  55. 55.
    O.W. Greenberg, Phys. Rev. Lett. 13, 598 (1964); M.Y. Han and Y. Nambu, Phys. Rev. B 139, 1006 (1965); W.A. Bardeen, H. Fritzsch, M. Gell-Mann, in Scale and Conformal Symmetry in Hadron Physics, R. Gatto, ed. (Wiley, New York, 1973), p. 139CrossRefGoogle Scholar
  56. 56.
    H. Georgi, H.D. Politzer, Phys. Rev. D 9, 416 (1974); D. J. Gross, F. Wilczek, Phys. Rev. D 9, 980 (1974)CrossRefGoogle Scholar
  57. 57.
    K. Wilson, Phys. Rev. 179, 1499 (1969)CrossRefGoogle Scholar
  58. 58.
    S. Weinberg, Phys. Rev. Lett. 31, 494 (1973); D.J. Gross, F. Wilczek, Phys. Rev. D 8, 3633 (1973); H. Fritzsch, M. Gell-Mann, and H. Leutwyler, Phys. Lett. B 47, 365 (1973)CrossRefGoogle Scholar
  59. 59.
    S. Weinberg, [58]Google Scholar
  60. 60.
    M. Gell-Mann, [5]; S. Okubo, Prog. Theor. Phys. 27, 949 (1962)Google Scholar
  61. 61.
    S. Glashow, J. Iliopoulos, L. Maiani, Phys. Rev. D 2, 1285 (1970)CrossRefGoogle Scholar
  62. 62.
    S. Weinberg, [47]Google Scholar
  63. 63.
    C. Bouchiat, J. Iliopoulos, P. Meyer, Phys. Lett. B 38, 519 (1972); S. Weinberg, in Fundamental Interactions in Physics and Astrophysics, eds.G. Iverson et al. (Plenum Press, New York, 1973), p. 157CrossRefGoogle Scholar
  64. 64.
    M. Gaillard, B.W. Lee, Phys. Rev. D 10, 897 (1974)CrossRefGoogle Scholar
  65. 65.
    T. Appelquist, H.D. Politzer, Phys. Rev. Lett. 34, 43 (1975)CrossRefGoogle Scholar
  66. 66.
    J.J. Aubert et al. , Phys. Rev. Lett. 33, 1404 (1974); J.E. Augustin et al. , Phys. Rev. Lett. 33, 1406 (1974)CrossRefGoogle Scholar
  67. 67.
    M. Perl et al. , Phys. Rev. Lett. 35, 195, 1489 (1975); Phys. Lett. B 63, 466 (1976)Google Scholar
  68. 68.
    S.W. Herb et al. , Phys. Rev. Lett. 39, 252 (1975)Google Scholar
  69. 69.
    F. Abe et al., Phys. Rev. Lett. 74, 2626 (1995); S. Abachi et al. , Phys Rev. Lett. 74, 2632 (1995)CrossRefGoogle Scholar
  70. 70.
    N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963); M. Kobayashi, K. Maskawa, Prog. Theor. Phys. 49, 282 (1972)CrossRefGoogle Scholar
  71. 71.
    G. Arnison et al. , Phys. Lett. B 122, 103 (1983); 126, 398 (1983); 129, 273 (1983); 134, 469 (1984); 147, 241 (1984)CrossRefGoogle Scholar

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Authors and Affiliations

  • S. Weinberg
    • 1
  1. 1.Physics Department, Theory GroupUniversity of TexasAustinUSA

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