Magnetic Monopoles, Fiber Bundles, and Gauge Fields

  • Chen Ning Yang
Part of the NATO ASI Series book series (NSSB, volume 352)


The reports in this monograph have shown great enthusiasm and exuberance for the unification of various interactions through the concept of gauge fields. I would like to emphasize a point that has not yet been explicitly stated by any of the other authors: gauge fields are deeply related to some profoundly beautiful ideas of contemporary mathematics, ideas that are the driving forces of part of the mathematics of the last 40 years. Recalling the relationship between physics and mathematics in earlier periods, general relativity and Riemannian geometry, quantum mechanics and Hilbert space, it is all too obvious that physicists may again be zeroing in on a fundamental new secret of nature.


Vector Potential Fiber Bundle Gauge Field Magnetic Monopole Flux Line 
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  1. 1.
    DIRAC, P.A.M. 1931. Proc. Roy. Soc. A133: 60.ADSGoogle Scholar
  2. 2.
    WU, T. T. & C. N. YANG. 1975. Phys. Rev. D 12: 3845.MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    WU, T. T. & C. N. YANG. 1976. Nucl. Phys. B 107: 365.MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    FIERZ, M. 1944. Helv. Phys. Acta 17: 27.MathSciNetMATHGoogle Scholar
  5. 5.
    WENTZEL, G. 1966. Progr. Theor. Phys. Suppl. 37–38: 163.Google Scholar
  6. 6.
    WU, T. T. & C. N. YANG. 1977.Google Scholar
  7. 7.
    LIPKIN, H. J., W I. WEISBERGER & M. PESHKIN. 1969. Ann. Phys. 53: 203.ADSCrossRefGoogle Scholar
  8. 8.
    KAZAMA, Y, C. N. YANG & A. S. GOLDHABER. 1977. Phys. Rev. D.Google Scholar
  9. 9.
    WEYL, H. 1920. Raum, Zeit und Materie. 3rd edit. Springer Verlag. Berlin- Heidelberg. New York.Google Scholar
  10. 10.
    FOCK, V. 1927. Z. Phys. 39: 226.ADSGoogle Scholar
  11. 11.
    LONDON, F. 1927. Z. Phys. 42: 375.ADSCrossRefGoogle Scholar
  12. 12.
    WEYL, H. 1929. Z. Phys. 56: 330.ADSCrossRefGoogle Scholar
  13. 13a.
    PAULI, W. 1933. Handbuch der Physik. 2nd edit. Vol. 24(1): 83. Geiger and Scheel.Google Scholar
  14. 13b.
    PAULI, W 1941. Rev. Mod. Phys. 13:203.ADSMATHCrossRefGoogle Scholar
  15. 14a.
    WEYL, H. 1918. Sitzber. Preuss Akad. Wiss.: 465Google Scholar
  16. 14b.
    WEYL, H. 1918. Math. Z. 2: 384MathSciNetCrossRefGoogle Scholar
  17. 14c.
    WEYL, H. 1919. Ann. Phys. 59: 101.CrossRefGoogle Scholar
  18. 15.
    WEYL, H. 1921. Space, Time and Matter. Dover Publications, Inc. New York, N.YGoogle Scholar
  19. 16.
    1964. Electromagnetic Fields and Interactions. Blaisdell Publishing co. Waltham, Mass.Google Scholar
  20. 17.
    YANG, C. N. & R. MILLS. 1954. Phys. Rev. 95: 631.MathSciNetGoogle Scholar
  21. 18.
    YANG, C. N. & R. MILLS. 1954, Phys. Rev. 96: 191.MathSciNetADSCrossRefGoogle Scholar
  22. 19.
    YANG, C. N. 1974. Phys. Rev. Lett. 33: 445.MathSciNetADSCrossRefGoogle Scholar
  23. 20a.
    AHARONOV, Y & D. BOHM. 1959. Phys. Rev. 115: 485MathSciNetADSMATHCrossRefGoogle Scholar
  24. 20b.
    CHAMBERS, R. G. 1960. Phys. Rev. Lett. 5: 3.ADSCrossRefGoogle Scholar
  25. 21.
    YANG, C. N. 1975. Proc. Sixth Hawaii Topical Conf. Particle Phys.Google Scholar
  26. 22.
    UTIYAMA, R. 1956. Phys. Rev. 101: 1957.MathSciNetCrossRefGoogle Scholar
  27. 23a.
    WEINBERG, S. 1967. Phys. Rev. Lett. 19: 1264ADSCrossRefGoogle Scholar
  28. 23b.
    SALAM, A. 1968. In Elementary Particle Theory. N. Svartholm, Ed. Almquist and Forlag. Stockholm, Sweden.Google Scholar
  29. 24a.
    t’Hooft, G. 1971. Nucl. Phys. B 35: 167ADSCrossRefGoogle Scholar
  30. 24b.
    ABERS, E. S. & B. W Lee. 1973. Phys. Rep. 9C: 1.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1996

Authors and Affiliations

  • Chen Ning Yang
    • 1
  1. 1.Institute for Theoretical PhysicsState University of New York at Stony BrookStony BrookUSA

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