Skip to main content
Log in

Unified spin gauge model and the top quark mass

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

Spin gauge models use a real Clifford algebraic structure Rp,q associated with a real manifold of dimension p + q to describe the fundamental interactions of elementary particles. This review provides a comparison between those models and the standard model, indicating their similarities and differences. By contrast with the standard model, the spin gauge model based on R3,8 generates intermediate boson mass terms without the need to use the Higgs-Kibble mechanism and produces a precise prediction for the mass of the top quark. The potential of this model to account for exactly three families of fermions is considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. S. R. Chisholm and R. S. Farwell, in “Clifford algebras and their applications in mathematical physics,” F. Brackxet al., eds. (Kluwer, Dordrecht, 1993), p. 367; “The interface of mathematics and physics,” D. G. Quillanet al., eds. (Oxford University Press, Oxford, 1990), p. 193.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  4. M. Gell-Mann, “Elementary particle physics,” P. Urban, ed. (Springer, Berlin, 1972), p. 733.

    Google Scholar 

  5. J. S. R. Chisholm and R. S. Farwell,J. Phys. G 18, L117 (1992).

    Google Scholar 

  6. L. Halpern, inProceedings, 1st Marcel Grossmann Meeting, R. Ruffini, ed. (North-Holland, Amsterdam, 1977), p. 113.

    Google Scholar 

  7. G. V. Bicknell,J. Phys. A 7, 1061 (1974).

    Google Scholar 

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

    Google Scholar 

  9. A Salam,Proceedings, 8th Nobel Symposium, N. Svartholm, ed. (Almquist & Wiksall, Stockholm, 1968), p. 365.

    Google Scholar 

  10. J. S. R. Chisholm and R. S. Farwell, to appear inInt. J. Mod. Phys. B 9 (1995).

  11. S. Glashow,1979 Cargese Institute Lectures (Gordon & Breach, New York, 1980).

    Google Scholar 

  12. J. F. Cornwell,Group Theory in Physics, Vol. 1 (Academic, London, 1984), p. 335.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chisholm, J.S.R., Farwell, R.S. Unified spin gauge model and the top quark mass. Found Phys 25, 1511–1522 (1995). https://doi.org/10.1007/BF02057464

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02057464

Keywords

Navigation