Advertisement

Radical unification

  • H. P. Dürr
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 160)

Abstract

In contrast to the common ‘Additive Unification’ schemes, like GUTS etc., a ‘Radical Unification’ scheme — originally suggested by Heisenberg — is adovcated where the fundamental symmetry group and the number of fundamental local fields is required to be minimal: The apparent higher symmetries and the larger number of phenomenological local fields here are effectively generated by the dynamics. In this context a U(1) ⊗ SU(2,loc) invariant theory is considered which is based solely on a single 2×2 component isospinor-spinor field (‘urfield’).

Keywords

Local Field Gauge Field Invariance Group Colour Group Higgs Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    H. Georgi and S.L. Glashow: Phys.Rev. Lett. 32, 438 (1974); A.J. Buras, J. Ellis, M.K. Gaillard and D.V. Nanopoulos: Nucl.Phys. B135, 66 (1978).Google Scholar
  2. [2]
    H. Georgi: Particles and Fields, 1974 (APS/DPF Williamsburg) (New York, N.Y. 1975), p. 575; H. Fritzsch and P. Minkowski: Ann.Phys. (N.Y.), 93, 193 (1975); M.S. Chanowitz, J. Ellis and M.K. Gaillard: Nucl.Phys. B129, 506 (1977).Google Scholar
  3. [3]
    F. Gürsey, P. Ramond and P. Sekivie: Phys.Lett. B60, 177 (1976); Y. Achiman and B. Stech: Phys.Lett. B77, 389 (1978); O. Shafi: Phys.Lett. B79, 301 (1978); H. Ruegg and T. Schücker: Nucl.Phys. B161, 388 (1979).Google Scholar
  4. [4]
    M. Gell-Mann, P. Ramond and R. Slansky: Rev.Mod.Phys., 50, 721 (1978); I. Bars and M. Günaydin: Phys.Rev.Lett. 45, 859 (1980).Google Scholar
  5. [5]
    S.L. Glashow: Nucl.Phys., 22, 579 (1961), A. Salam and J.C. Ward: Phys.Lett. 13, 168 (1964); S. Weinberg: Phys.Rev.Lett. 19, 1264 (1967); Rev.Mod.Phys. 46, 255 (1974).Google Scholar
  6. [6]
    P.A. Schilpp: Albert Einstein: Philosopher-Scientist, Tudor Publ.Co., New York, 4th Ed. 1957, p. 20 ff.Google Scholar
  7. [7]
    W. Heisenberg: Nuovo Cim. 6, 493 (1949); Z.f.Physik, 126, 569 (1949); 13, 65 (1952); Naturwiss. 39, 69 (1952).Google Scholar
  8. [8]
    H.P. Dürr: Bull. Soc. Math. Belg. 31, 17 (1979).Google Scholar
  9. [9]
    H.P. Dürr and H. Saller: Phys.Rev. D22, 1176 (1980).Google Scholar
  10. [10]
    W. Heisenberg: Naturwiss. 63, 1 (1976); H.P. Dürr: Nuovo Acta Leopoldina, 47, 111 (1977).Google Scholar
  11. [11]
    H.P. Dürr, W. Heisenberg, H. Mitter, S. Schlieder and K. Yamazaki: Z.Naturforschg. 14a, 441 (1959).Google Scholar
  12. [12]
    H.P. Dürr: Properties of Matter under Unusual Conditions, ed. by H. Mark and S. Fernbach, J. Wiley, New York, 1969, p. 301; Group Theoretical Methods in Physics, Springer Lecture Notes 79, 259 (1977).Google Scholar
  13. [13]
    H.P. Dürr and H. Saller: Nuovo Cim. A39, 31 (1977); 41, 677 (1977); 48, 505 (1978); 48, 561 (1978).Google Scholar
  14. [14]
    J. Goldstone: Nuovo Cim. 19, 154 (1961); J. Goldstone, A. Salam and S. Weinberg: Phys.Rev. 127, 965 (1962).Google Scholar
  15. [15]
    H.P. Dürr and H. Saller: Phys.Lett. B84, 336 (1979); Nuovo Cim. A53, 469 (1979).Google Scholar
  16. [16]
    H. Umezawa: Nuovo Cim. 38, 1415 (1965); 40, 450 (1965); S. Coleman: Erice Lectures 1973.Google Scholar
  17. [17]
    H.P. Dürr and N.M. Winter: Nuovo Cim. A70, 467 (1970).Google Scholar
  18. [18]
    H. S.aller: Preprint MPI-PAE/PTh 58/80 Munich, Dec. 1980, to be published in Nuovo Cimento.Google Scholar
  19. [19]
    H. Saller: Preprint MPI-PAF/PTh 38/81 Munich, July 1981, to be published in Nuovo Cimento.Google Scholar
  20. [20]
    H.P. Dürr: Heisenbergs einheitliche Feld theorie der Elementarteilchen, Heisenberg Gedächtnisbuch 1981, Deutsche Akademie der Naturforscher Leopoldina, Dez. 1981.Google Scholar
  21. [21]
    H.P. Dürr: Nuovo Cim. A62, 69 (1981); Preprint MPI-PAF/PTh 4/81, Munich, March 1981, to be published in Nuovo Cimento.Google Scholar
  22. [22]
    W. Heisenberg: Nucl.Phys. 4, 532 (1957); W. Karowski: Nuovo Cim. A23, 126 (1974).Google Scholar
  23. [23]
    H.P. Dürr and H. Saller: Preprint MPI-PAE/PTh 14/81, Munich, March 1981, to be published in Nuovo Cimento.Google Scholar
  24. [24]
    H.P. Dürr and H. Saller: Nuovo Cim. A60, 79 (1980).Google Scholar
  25. [25]
    H.P. Dürr, H. Saller and H. Schneider: to be published.Google Scholar
  26. [26]
    E. Carrigan, D.I. Olive, D.B. Failie and J. Nuyts: Nucl.Phys. B106, 475 (1976).Google Scholar
  27. [27]
    W. Heisenberg: Annalen der Physik, 32, 20 (1938); Z.f. Physik 11, 241 (1939).Google Scholar
  28. [28]
    M. Born: Proc.Roy.Soc. (London) A, 143, 410 (1933).Google Scholar
  29. [29]
    W. Heisenberg: Z.Naturforschg., 5a, 251 (1950).Google Scholar
  30. [30]
    W. Heisenberg: Nachr. Akad.Wiss., Göttingen, Ila, 111 (1953); Z.Naturforschg. 9a, 292 (1954).Google Scholar
  31. [31]
    S. Schlieder: Z.Naturforschg. 15a, 448, 460, 555 (1960); K.L. Nagy: State Vector Spaces with Indefinite Metric, Akademiai Kiado, Budapest 1966.Google Scholar
  32. [32]
    W. Heisenberg and W. Pauli: On the isospin group in the theory of elementary particles, Preprint Jan. 1958, MPI für Physik, Göttingen (unpublished).Google Scholar
  33. [33]
    H.P. Dürr: Z. Naturforschg. 16a, 321 (1961).Google Scholar
  34. [34]
    H.P. Dürr and W. Heisenberg: Z.Naturforschg. 16a, 726 (1961); Nuovo Cim. 37, 1446, 1487 (1965); H.P. Dürr and J. Géhéniau: Nuovo Cim. 28, 132 (1963).Google Scholar
  35. [35]
    H. Saller: Nuovo Cim. A30, 541 (1975); 34, 99 (1976).Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • H. P. Dürr
    • 1
  1. 1.Max-Planck-Institut für Physik und Astrophysik MünchenGermany

Personalised recommendations