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Dynamical origin of symmetry

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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 79))

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Abstract

It is argued that the majority of broken symmetries observed in elementary particle physics - in particular symmetries connected with strangeness, charm and the higher symmetries SU3, SU4 - should not be interpreted as spontaneously broken fundamental symmetries but as structural symmetries which arise from the many-body structure of the particles. Quarks in this interpretation would have only phenomenological significance as ‘quasi-particles’ in the sense of many-body physics. In the framework of a nonlinear spinor theory of the Nambu-Jona-Lasinio type it is indicated how such structural symmetries can be explicitly obtained as a consequence of a spontaneously broken isospin SU2 symmetry.

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References

  1. For a popular review see e.g. S.L. Glashow: Scientific American 233, 38 (1975).

    Google Scholar 

  2. K. Johnson: Phys.Rev., D6, 1101 (1972)

    Google Scholar 

  3. A. Casher, J. Kogut, and L. Susskind: Phys.Rev., D10, 732 (1974)

    Google Scholar 

  4. J. Kuti: Proceedings of the European Conference on Particle Physics, Budapest, July 1977.

    Google Scholar 

  5. W. Heisenberg: The Physicist's Conception of Nature (ed. by J. Mehra), D. Reidel Publ.Co. 1973, p. 264; Physics Today, March 1976

    Google Scholar 

  6. H.P. Dürr: Ist ein Elementarteilchen elementar ? Nova Acta Leopoldina, Symposium 1975, to be published.

    Google Scholar 

  7. H.P. Dürr: Properties of matter under unusual conditions. (E. Teller Festschrift). Ed. by H. Mark and S. Fernbach, p. 301. New York: Wiley & Sons 1969.

    Google Scholar 

  8. D. Finkelstein: J. Math.Phys., 7, 1218 (1966)

    Google Scholar 

  9. G. 'tHooft: Nuclear Physics, B79, 276 (1974)

    Google Scholar 

  10. A.M. Polyakov: JETP. Lett., 20, 194 (1974)

    Google Scholar 

  11. S. Coleman: Erice Lectures 1975 to be published

    Google Scholar 

  12. L. O'Raifeartaigh: Present Colloquium.

    Google Scholar 

  13. H.P. Dürr, W. Heisenberg, H. Yamamoto, and K. Yamazaki: Nuovo Cimento, 38, 1220 (1965).

    Google Scholar 

  14. H.P. Dürr: Proceedings of International Symposium on mathematical Physics, Warsaw, March 1974, p. 135.

    Google Scholar 

  15. H.P. Dürr: Nuovo Cimento, 27A, 305 (1975).

    Google Scholar 

  16. S.L. Glashow, J. Iliopoulos, and L. Maiani: Phys.Rev., D2, 1285 (1970).

    Google Scholar 

  17. H. Harari: Phys.Lett., 57B, 265 (1975); Annals of Physics, 94, 391 (1975).

    Google Scholar 

  18. L. Lederman: Proceedings of the European Conference on Particle Physics, Budapest, July 1977.

    Google Scholar 

  19. H.P. Dürr, W. Heisenberg, H. Mitter, S. Schlieder, and K. Yamazaki: Z.Naturforschung, 14a, 441 (1959).

    Google Scholar 

  20. J. Goldstone: Nuovo Cimento, 19, 154 (1961)

    Google Scholar 

  21. J. Goldstone, A. Salam, and S. Weinberg: Phys.Rev., 127, 965 (1962).

    Google Scholar 

  22. Y. Nambu, and G. Jona-Lasinio: Phys.Rev., 122, 345 (1961); 124, 246 (1961).

    Google Scholar 

  23. J. Bardeen, L.N. Cooper, and J.R. Schrieffer: Phys.Rev., 108, 1175 (1957)

    Google Scholar 

  24. A. Abrikosov, L. Gorkov, and I. Dzyaloshinski: Me$thods of Quantum Field Theory in Statistical Physics, New York, N.Y., 1965.

    Google Scholar 

  25. H. Wagner: Z. Physik, 195, 273 (1966).

    Google Scholar 

  26. J. Wheeler: Private communication 1969.

    Google Scholar 

  27. H.P. Dürr: Quanten und Felder (Heisenberg Festschrift), Vieweg 1971, p. 125.

    Google Scholar 

  28. P.W. Anderson: Phys.Rev., 130, 439 (1963)

    Google Scholar 

  29. P.W. Higgs: Physics Letters, 12, 132 (1964); Phys.Rev., 145, 1156 (1966)

    Google Scholar 

  30. G.S. Guralnik, C.R. Hagen, and T.W. Kibble: Phys.Rev. Lett., 13, 585 (1964).

    Google Scholar 

  31. S.A. Bludman: Nuovo Cimento, 9, 433 (1958)

    Google Scholar 

  32. S.L. Glashow: Nuclear Physics, 22, 579 (1961)

    Google Scholar 

  33. A.Salam and J. Ward: Phys.Lett., 13, 168 (1964)

    Google Scholar 

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

    Google Scholar 

  35. For a discussion of the work before 1966 see: W. Heisenberg: Introduction to the Unified Field Theory of Elementary Particles; Interscience Publ., London 1966.

    Google Scholar 

  36. K. Symanzik: Comm.Math.Phys., 18, 227 (1970); 23, 49 (1971)

    Google Scholar 

  37. C.G. Callan,and K. Symanzik: Phys.Rev., D2, 1541 (1970)

    Google Scholar 

  38. D.J. Gross,and F. Wilczek: Phys.Rev.Lett., 30, 1343 (1973)

    Google Scholar 

  39. H.D. Politzer: Phys.Rev.Lett., 30, 1346 (1973)

    Google Scholar 

  40. S. Coleman and D.J. Gross: Phys.Rev.Lett., 31, 851 (1973).

    Google Scholar 

  41. H.P. Dürr, and N.J. Winter: Nuovo Cimento, 70A, 467 (1970); 7A, 461 (1972)

    Google Scholar 

  42. R. Budini,and P. Furlan: Nuovo Cimento, 30A, 63 (1975)

    Google Scholar 

  43. K. Akama,and H. Terazawa: Institute for Nuclear Study Report, Tokyo; INS-257, 1976 (unpublished)

    Google Scholar 

  44. H. Terazawa, Y. Chikashige, and K. Akama: Progr.Theor.Phys, 56, 1935 (1976)

    Google Scholar 

  45. Phys.Rev., D15, 480 (1977).

    Google Scholar 

  46. A.C. Scott, F.Y.F. Chu, and D.W. McLaughlin: Proc.IEEE., 61, 1443 (1973)

    Google Scholar 

  47. A. Barone, F. Esposito, C.J. Magee, and A.C. Scott: Riv.Nuovo Cimento 1, 227 (1971)

    Google Scholar 

  48. L.D. Faddeev,and L.A. Takhtajau, Dubna Report 1973

    Google Scholar 

  49. R. Rajaraman: Phys.Reports, 21C, 227 (1975)

    Google Scholar 

  50. R. Jackiw: Rev.Mod.Physics, 49, 681 (1977).

    Google Scholar 

  51. H.P. Dürr, and W. Heisenberg: Z.Naturforschung 16a, 327 (1961)

    Google Scholar 

  52. Nuovo Cimento 37, 1446, 1487 (1965)

    Google Scholar 

  53. H.P. Dürr, and J. Géhéniau: Nuovo Cimento 28, 132 (1963)

    Google Scholar 

  54. H. Biritz: Nuovo Cimento, 47a, 581 (1966)

    Google Scholar 

  55. H. Saller: Nuovo Cimento: 30A, 541 (1975); 34A, 99 (1976).

    Google Scholar 

  56. H.P. Dürr, and H. Saller: Nuovo Cimento, 39A, 31 (1977).

    Google Scholar 

  57. H.P. Dürr,and H. Saller: Nuovo Cimento to be published (1977).

    Google Scholar 

  58. H.P. Dürr,and H. Saller: In preparation, to be submitted to Nuovo Cimento.

    Google Scholar 

  59. S. Sakata: Progr.Theor.Phys., 16, 686 (1956).

    Google Scholar 

  60. M. Gell-Mann. Cal-Tech. Report CTSL-20 (1961); Phys.Rev. 125, 1067 (1962)

    Google Scholar 

  61. Y. Ne'eman: Nuclear Physics, 26, 222 (1961)

    Google Scholar 

  62. M. Gell-Mann, and Y. Ne'eman: The eightfold way, W.A. Benjamin, New York 1964.

    Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, Munich, Germany

    H. P. Dürr

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  1. H. P. Dürr
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P. Kramer A. Rieckers

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© 1978 Springer-Verlag

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Dürr, H.P. (1978). Dynamical origin of symmetry. In: Kramer, P., Rieckers, A. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08848-2_14

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  • DOI: https://doi.org/10.1007/3-540-08848-2_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08848-6

  • Online ISBN: 978-3-540-35813-8

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