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Nonabelian gauge fields were introduced by C. N. Yang and R. L. Mills, Phys. Rev., vol. 96, p. 191, 1954, and have been considered by many authors since then. We list here only references directly related to our presentation. The quantization was developed by R. P. Feynman, Acta Phys. Polonica, vol. 24, p. 697, 1963; L. D. Faddeev and V. N. Popov, Phys. Lett., vol. 25, ser. B, p. 29, 1967; and B. S. DeWitt, Phys. Rev., vol. 162, pp. 1195 and 1239, 1967. At about the same time, S. Weinberg, Phys. Rev. Lett., vol. 19, p. 1264, 1967, and A. Salam, in "Elementary Particle Theory," edited by N. Svartholm, Almquist and Wiksells, Stockholm, 1968, proposed to base a theory of weak interactions on a spontaneously broken gauge model. This phenomenon had been discussed
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NONABELIAN GAUGE FIELDS
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by F. Englert and R. Brout, Phys. Rev. Lett., vol. 13, p. 321, 1964; P. W. Higgs, Phys. Lett., vol. 12, p. 132, 1964, Phys. Rev. Lett., vol. 13, p. 508, 1964, and Phys. Rev., vol. 145, p. 1156, 1966; G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble, Phys. Rev. Lett., vol. 13, p. 585,1964; and T. Kibble, Phys. Rev., vol. 155, p. 1554, 1967. An early discussion in the context of superconductivity is in P. W. Anderson, Phys. Rev., vol. 112, p. 1900, 1958, and vol. 130, p. 439, 1963. This led to an intensive study of the renormalization procedure. Some crucial papers are those by G. 't Hooft, Nucl. Phys., ser. B, vol. 33, p. 173, 1971, and ser. B, vol. 35, p. 167, 1971; A. A. Slavnov, Theor. and Math. Phys., vol. 10, p. 99, 1972; J. C. Taylor, Nucl. Phys., ser. B, vol. 33, p. 436, 1971; B. W. Lee and J. Zinn-Justin, Phys. Rev., ser. D, vol. 5, pp. 3121, 3137, and 3155, ser. D, vol. 7, p. 1049, 1972; G. 't Hooft and M. T. Veltman, Nucl. Phys., ser. B, vol. 50, p. 318, 1972; and C. Becchi, A. Rouet, and R. Stora, in "Renormalization Theory," edited by G. Velo and A. S. Wightman, D. Reidel, Dordrecht, Holland, and Boston, Mass., 1976. Reviews have been written by E. S. Abers and B. W. Lee, Phys. Rep., ser. C, vol. 9, p. 1, 1973; M. T. Veltman, in "Proceedings of the Sixth International Symposium on Electron and Photon Interactions at High Energies," edited by H. Rollnik and W. Pfeil, North-Holland, Amsterdam, 1974; J. Zinn-Justin, in "Trends in Elementary Particle Theory," edited by H. Rollnik and K. Dietz, Springer-Verlag, Berlin, 1975; B. W. Lee, in "Methods in Field Theory," edited by R. Balian and J. Zinn-Justin, North-Holland, Amsterdam, 1976; and W. Marciano and H. Pagels, Phys. Rep., ser. C, vol. 36, p. 137, 1978. A textbook by J. C. Taylor, "Gauge Theories of Weak Interactions," Cambridge University Press, 1976, offers a general survey. The extension of the weak interaction model to include hadrons was stimulated by the proposal of the charm quantum number by S. L. Glashow, J. Iliopoulos, and L. Maiani, Phys. Rev., ser. D, vol. 2, p. 1285, 1970. The geometry of gauge fields has been revisited by T. T. Wu and C. N. Yang, Phys. Rev., ser. D, vol. 12, p. 3843, 1975. A general discussion of classical solutions is in the lecture notes by S. Coleman, in "New Phenomena in Subnuclear Physics," edited by A. Zichichi, Plenum Press, New York, 1977. The gauge monopoles were found independently by G. 't Hooft, Nucl. Phys., ser. B, vol. 79, p. 276, 1974, and A. M. Po!yakov, JET P Lett., vol. 20, p. 194, 1974. A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Y. S. Tyupkin introduced the euclidean instantons, Phys. Lett., ser. B, vol. 59, p. 85, 1975. Gauge-fixing ambiguities are discussed by V. N. Gribov, Nucl. Phys., ser. B, vol. 139, p. 1, 1978. For the muon anomaly, see Chap. 7. The weak corrections have been computed by K. Fujikawa, B. W. Lee, and A. 1. Sanda, Phys. Rev., ser. D, vol. 6, p. 2923,1972.
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