Skip to main content
SpringerLink
Log in

Bispinors generated by dirac matrix field in Riemannian space

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

A scheme is considered in which bispinors are nothing more than a convenient language for describing information contained in a field of Dirac matrices. The scheme differs fundamentally from the tetrad method of introducing bispinors in Riemannian space. The scheme leads to a nontrivial classification of spin 1/2 particles corresponding to near-vacuum fields of Dirac matrices. A possible connection between the obtained results and various attempts to unify interactions is discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. A. Fok and D. D. Ivanenko,Z. Phys.,54, 798 (1929).

    Google Scholar 

  2. V. A. Fok and D. D. Ivanenko,C. R. Acad. Sci.,188, 1470 (1929).

    Google Scholar 

  3. V. Fock,Z. Phys.,57, 261 (1929).

    Google Scholar 

  4. W. L. Bade and H. Jehle,Rev. Mod. Phys.,25, 714 (1953).

    Google Scholar 

  5. D. Brill and J. Wheeler,Rev. Mod. Phys.,29, 465 (1957).

    Google Scholar 

  6. F. R. Gantmacher,The Theory of Matrices, transl. of first Russ. ed., Chelsea, New York (1959).

    Google Scholar 

  7. R. Penrose, “Structure of spacetime,” in:Battelle Rencentres: 1967 Lectures in Mathematics and Physics (eds. C. de Witt and J. A. Wheeler), Benjamin, New York (1968) [translated as separate book by Mir in 1972].

    Google Scholar 

  8. Yu. S. Vladimirov,Frames of Reference in the Theory of Gravitation [in Russian], Énergoizdat, Moscow (1982).

    Google Scholar 

  9. T. W. B. Kibble,J. Math. Phys.,2, 212 (1961).

    Google Scholar 

  10. F. J. Belinfante,Physica (Utrecht),7, 305 (1940).

    Google Scholar 

  11. E. E. Fairchild, Jr.,Phys. Rev. D,16, 2438 (1977).

    Google Scholar 

  12. M. V. Gorbatenko and Yu. A. Romanov,Teor. Mat. Fiz.,1, 222 (1969).

    Google Scholar 

  13. M. V. Gorbatenko and Yu. A. Romanov,Teor. Mat. Fiz.,3, 183 (1970).

    Google Scholar 

  14. M. V. Gorbatenko and Yu. A. Romanov,Dokl. Akad. Nauk SSSR,190, 805 (1970).

    Google Scholar 

  15. I. V. Baum, M. V. Gorbatenko, and Yu. A. Romanov,Teor. Mat. Fiz.,6, 338 (1971).

    Google Scholar 

  16. M. V. Gorbatenko and A. V. Pushkin, in:Problems of Atomic Science and Technology, Ser. Theoretical and Applied Physics, No. 1(1) [in Russian] (1984), p. 49.

  17. C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation, W. H. Freeman, San Francisco (1973).

    Google Scholar 

  18. S. S. Schweber,An Introduction to Relativistic Quantum Field Theory, Evanston, Ill. (1961), Chap. l.

  19. S. Gupta,Nuovo Cimento,36, 451 (1965).

    Google Scholar 

  20. A. J. W. Sommerfeld,Atomic Structure and Spectral Lines, London (1934).

  21. D. Hestenes,J. Math.,8, 798 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Federal Nuclear Center—All-Russia Institute of Experimental Physics, Arzamas-16, Nizhny Novgorod Province, USSR

    M. V. Gorbatenko

Authors
  1. M. V. Gorbatenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 1, pp. 32–40, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorbatenko, M.V. Bispinors generated by dirac matrix field in Riemannian space. Theor Math Phys 103, 374–380 (1995). https://doi.org/10.1007/BF02069781

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02069781

Keywords

Search

Navigation