Skip to main content
Log in

Global effects in quaternionic quantum field theory

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We present some striking global consequences of a model quaternionic quantum field theory which is locally complex. We show how making the quaternionic structure a dynamical quantity naturally leads to the prediction of cosmic strings and nonbaryonic hot dark matter candidates.

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. G. Birkhoff and J. von Neumann,Ann. Math. 37, 823 (1936).

    Google Scholar 

  2. D. Finkelstein, J. M. Jauch, S. Schiminovich, and D. Speiser,J. Math. Phys. 3, 207 (1962);4, 788 (1963).

    Google Scholar 

  3. S. L Adler,Phys. Rev. D 17, 3212 (1978);Phys. Lett. B 86, 203 (1979) (Erratum,ibid., 87B (1979) 406);Phys. Lett. B 332 (1994) 358;Quaternionic Quantum Mechanics and Quantum Fields (Oxford, New York, 1995), and references therein.

    Google Scholar 

  4. A. Peres,Phys. Rev. Lett. 42, 683 (1979) quant-ph/9605024.

    Google Scholar 

  5. H. Kaiser, E. A. George, and S. A. Werner,Phys. Rev. A 29, R2276 (1984); more recent experimental results appear in B. Altmanet al., J. Jpn. Phys. Soc. (1996) (to appear).

    Google Scholar 

  6. S. P. Brumby, G. C. Joshi, and R. Anderson,Phys. Rev. A 51, 976 (1995).

    Google Scholar 

  7. L. P. Horwitz and L. C. Biedenharn,Ann. Phys. (New York) 157, 432 (1984).

    Google Scholar 

  8. A. Razon and L. P. Horwitz,Acta Appl. Math. 24, 179 (1991); L. P. Horwitz,J. Math. Phys. 33, 3098 (1992).

    Google Scholar 

  9. C. G. Nash and G. C. Joshi,Int. J. Theor. Phys. 31, 965 (1992);J. Math. Phys. 28, 2883 (1987);28, 2886 (1987).

    Google Scholar 

  10. C. Itzykson and J.-B. Zuber,Quantum Field Theory (McGraw-Hill, New York, 1980). Chap. 12.

    Google Scholar 

  11. S. P. Brumby, B. E. Hanlon, and G. C. Joshi, hep-th/9610210.

  12. B. Holdom,Phys. Lett. B 166, 196 (1986).

    Google Scholar 

  13. R. M. Wald,General Relativity (University of Chicago Press, Chicago, 1984).

    Google Scholar 

  14. H. B. Nielsen and P. Olesen,Nucl. Phys. B 61, 45 (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brumby, S.P., Joshi, G.C. Global effects in quaternionic quantum field theory. Found Phys 26, 1591–1599 (1996). https://doi.org/10.1007/BF02282122

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02282122

Keywords

Navigation