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Classical aspects of Yang-Mills theories

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Solutions of Einstein's Equations: Techniques and Results

Part of the book series: Lecture Notes in Physics ((LNP,volume 205))

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Abstract

The Yang- Mills equations, their symmetries, the physical quantities of their solutions, the characterization of different classes of solutions, and the similarities between the Yang- Mills and the Einstein equations are reviewed in an introductory level.

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References

  1. C.N. Yang, and R. Mills, Phys. Rev. 96, 191, (1954).

    Google Scholar 

  2. G.'t Hooft, Nucl. Phys. B35, 167, (1971).

    Google Scholar 

  3. E.S. Abers and B.W. Lee, Phys. Reports, 9C, 1, (1973).

    Google Scholar 

  4. S. Glashow, Nucl. Phys. 22, 579, (1961).

    Google Scholar 

  5. S. Weinberg, Phys. Rev. Lett. 19, 1264, (1967).

    Google Scholar 

  6. A. Salam, Proceedings of the 8thNobel Symposium, N. Svartholm Ed., Almqvist and Wiksells, Stockholm (1968).

    Google Scholar 

  7. W. Marciano and H. Pagels, Phys. Reports 36C, 137 (1978).

    Google Scholar 

  8. M. Daniel and C.M. Viallet, Rev. Mod. Phys. 52, 175, (1980).

    Google Scholar 

  9. R. Jackiw, Rev. Mod. Phys. 49, 681, (1977).

    Google Scholar 

  10. R. Jackiw, C. Nohl, and C. Rebbi, in Particles and Fields, D.H. Boal and A.N. Kamal eds., Plenum, New York, (1977).

    Google Scholar 

  11. A. Neveu, Rep. Prog. Phys. 40, 709 (1977).

    Google Scholar 

  12. L. Faddeev and V. Korepin, Phys. Reports 42C, 1, (1978).

    Google Scholar 

  13. A. Actor, Rev. Mod. Phys. 51, 461, (1979).

    Google Scholar 

  14. R. Jackiw, “Topological investigations of quantized gauge theories”, summer course delivered in Les Houches, France., preprint (1983).

    Google Scholar 

  15. E. Bessel-Hagen, Math. Ann. 84, 258, (1921).

    Google Scholar 

  16. S. Coleman and R. Jackiw, Ann. Phys. 67, 552, (1971).

    Google Scholar 

  17. N. Birrell and P. Davies, Quantum Fields in Curved Space, Cambridge University Press (1982).

    Google Scholar 

  18. S. Deser, M.J. Duff, and C.J. Tsham, Nucl. Phys. B111, 45, (1976).

    Google Scholar 

  19. L.S. Brown, Phys. Rev. D15, 1469, (1977).

    Google Scholar 

  20. S.M. Christensen, Phys. Rev. D17, 946, (1978).

    Google Scholar 

  21. T. Eguchi, P. Gilkey, and A. Hanson, Phys. Rep. 66C, 213, (1980).

    Google Scholar 

  22. M. Ikeda and Y. Miyachi, Prog. Theor. Phys. 27, 474, (1962).

    Google Scholar 

  23. G.'t Hooft, Nucl. Phys. B79, 276, (1974).

    Google Scholar 

  24. A.M. Polyakov, Sov. Phys. JETP Lett. 20, 194, (1974).

    Google Scholar 

  25. B. Julia and A. Zee, Phys. Rev. D11, 2227, (1975).

    Google Scholar 

  26. H.Panagopoulos, Phys. Rev. D28, 380, (1983).

    Google Scholar 

  27. A.A. Belavin, A.M. Polyakov, A.S. Schwartz and Yu.S. Tyupkin, Phys. Lett. B59, 85, (1975).

    Google Scholar 

  28. M.F. Atiyah, N.J. Hitchin, V.G. Drinfeld, and Yu.I. Manin, Phys. Lett. 65A, 185, (1978).

    Google Scholar 

  29. V. De Alfaro, S. Fubini, and G. Furlan, Phys. Lett. 65B, 163, (1976).

    Google Scholar 

  30. S. Coleman, Phys. Lett. 70B, 59, (1977).

    Google Scholar 

  31. S. Coleman, New Phenomena in Subnuclear Physics, A. Zichichi, ed., Plenum, New York (1977).

    Google Scholar 

  32. S. Deser, Phys. Lett. 64B, 463, (1976).

    Google Scholar 

  33. C.N. Yang, Phys. Rev. Lett. 38, 1377, (1977).

    Google Scholar 

  34. M. Gürses and B.C. Xanthopoulos, Phys. Rev. D26, 1912, (1982).

    Google Scholar 

  35. L. Witten, Phys. Rev. D19, 718, (1979). *** DIRECT SUPPORT *** A3418162 00005

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, University of Crete, Iraklion, Crete, Greece

    Basilis C. Xanthopoulos

Authors
  1. Basilis C. Xanthopoulos
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Editor information

C. Hoenselaers W. Dietz

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© 1984 Springer-Verlag

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Xanthopoulos, B.C. (1984). Classical aspects of Yang-Mills theories. In: Hoenselaers, C., Dietz, W. (eds) Solutions of Einstein's Equations: Techniques and Results. Lecture Notes in Physics, vol 205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13366-6_11

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  • DOI: https://doi.org/10.1007/3-540-13366-6_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13366-7

  • Online ISBN: 978-3-540-38922-4

  • eBook Packages: Springer Book Archive

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