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’).
Preview
Unable to display preview. Download preview PDF.
References
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).
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).
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).
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).
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).
P.A. Schilpp: Albert Einstein: Philosopher-Scientist, Tudor Publ.Co., New York, 4th Ed. 1957, p. 20 ff.
W. Heisenberg: Nuovo Cim. 6, 493 (1949); Z.f.Physik, 126, 569 (1949); 13, 65 (1952); Naturwiss. 39, 69 (1952).
H.P. Dürr: Bull. Soc. Math. Belg. 31, 17 (1979).
H.P. Dürr and H. Saller: Phys.Rev. D22, 1176 (1980).
W. Heisenberg: Naturwiss. 63, 1 (1976); H.P. Dürr: Nuovo Acta Leopoldina, 47, 111 (1977).
H.P. Dürr, W. Heisenberg, H. Mitter, S. Schlieder and K. Yamazaki: Z.Naturforschg. 14a, 441 (1959).
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).
H.P. Dürr and H. Saller: Nuovo Cim. A39, 31 (1977); 41, 677 (1977); 48, 505 (1978); 48, 561 (1978).
J. Goldstone: Nuovo Cim. 19, 154 (1961); J. Goldstone, A. Salam and S. Weinberg: Phys.Rev. 127, 965 (1962).
H.P. Dürr and H. Saller: Phys.Lett. B84, 336 (1979); Nuovo Cim. A53, 469 (1979).
H. Umezawa: Nuovo Cim. 38, 1415 (1965); 40, 450 (1965); S. Coleman: Erice Lectures 1973.
H.P. Dürr and N.M. Winter: Nuovo Cim. A70, 467 (1970).
H. S.aller: Preprint MPI-PAE/PTh 58/80 Munich, Dec. 1980, to be published in Nuovo Cimento.
H. Saller: Preprint MPI-PAF/PTh 38/81 Munich, July 1981, to be published in Nuovo Cimento.
H.P. Dürr: Heisenbergs einheitliche Feld theorie der Elementarteilchen, Heisenberg Gedächtnisbuch 1981, Deutsche Akademie der Naturforscher Leopoldina, Dez. 1981.
H.P. Dürr: Nuovo Cim. A62, 69 (1981); Preprint MPI-PAF/PTh 4/81, Munich, March 1981, to be published in Nuovo Cimento.
W. Heisenberg: Nucl.Phys. 4, 532 (1957); W. Karowski: Nuovo Cim. A23, 126 (1974).
H.P. Dürr and H. Saller: Preprint MPI-PAE/PTh 14/81, Munich, March 1981, to be published in Nuovo Cimento.
H.P. Dürr and H. Saller: Nuovo Cim. A60, 79 (1980).
H.P. Dürr, H. Saller and H. Schneider: to be published.
E. Carrigan, D.I. Olive, D.B. Failie and J. Nuyts: Nucl.Phys. B106, 475 (1976).
W. Heisenberg: Annalen der Physik, 32, 20 (1938); Z.f. Physik 11, 241 (1939).
M. Born: Proc.Roy.Soc. (London) A, 143, 410 (1933).
W. Heisenberg: Z.Naturforschg., 5a, 251 (1950).
W. Heisenberg: Nachr. Akad.Wiss., Göttingen, Ila, 111 (1953); Z.Naturforschg. 9a, 292 (1954).
S. Schlieder: Z.Naturforschg. 15a, 448, 460, 555 (1960); K.L. Nagy: State Vector Spaces with Indefinite Metric, Akademiai Kiado, Budapest 1966.
W. Heisenberg and W. Pauli: On the isospin group in the theory of elementary particles, Preprint Jan. 1958, MPI für Physik, Göttingen (unpublished).
H.P. Dürr: Z. Naturforschg. 16a, 321 (1961).
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).
H. Saller: Nuovo Cim. A30, 541 (1975); 34, 99 (1976).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
Dürr, H.P. (1982). Radical unification. In: Breitenlohner, P., Dürr, H.P. (eds) Unified Theories of Elementary Particles. Lecture Notes in Physics, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11560-9_3
Download citation
DOI: https://doi.org/10.1007/3-540-11560-9_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11560-1
Online ISBN: 978-3-540-39250-7
eBook Packages: Springer Book Archive