Skip to main content
SpringerLink
Log in

Gauge transformations in constrained theories

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

Abstract

A method is proposed for constructing infinitesimal gauge transformations for an arbitrary degenerate Lagrangian without restrictions on the constraint algebra. It is thereby shown that in the general case degeneracy of a theory is due to its gauge invariance.

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. E. S. Fradkin and G. A. Vilkovisky,Phys. Lett. B,55, 224 (1975); I. A. Batalin and E. S. Fradkin,Phys. Lett. B,122, 157 (1983);Riv. Nuovo Cimento,9, 1 (1986); M. Henneaux,Phys. Rep.,126, 1 (1985).

    Google Scholar 

  2. I. A. Batalin, P. M. Lavrov, and I. V. Tyutin,J. Math. Phys.,31, 6 (1990).

    Google Scholar 

  3. P. A. M. Dirac,Can. J. Math. Phys.,2, 129 (1950);Lectures on Quantum Mechanics, Yeshiva University Press, New York (1964).

    Google Scholar 

  4. J. L. Anderson and P. G. Bergmann,Phys. Rev.,83, 1018 (1951); P. G. Bergmann and J. Goldberg,Phys. Rev.,98, 531 (1955).

    Google Scholar 

  5. L. Castellani,Ann. Phys. (N.Y.),143, 357 (1982).

    Google Scholar 

  6. E. C. G. Sudarshan and N. Mukunda,Classical Dynamics — A Modern Perspective, Wiley-Interscience, New York (1974), p. 78.

    Google Scholar 

  7. M. Henneaux, G. Teitelboim, and J. Zanelli,Nucl. Phys. B,332, 169 (1990).

    Google Scholar 

  8. X. Gràcia and J. M. Pons,J. Phys. A,25, 6357 (1992).

    Google Scholar 

  9. S. A. Gogilidze, V. V. Sanadze, Yu. S. Surovtsev and F. G. Tkebuchava. “The theories with higher derivatives and gauge transformation construction,” JINR Communication E2-87-390 [in English], JINR, Dubna (1987);Int. J. Mod. Phys. A,4, 4165 (1989).

    Google Scholar 

  10. V. V. Nesterenko and A. M. Chervyakov, “Singular Lagrangians. Classical dynamics and quantization,” Preprint JINR R2-86-323 [in Russian], JINR, Dubna (1986).

    Google Scholar 

  11. S. A. Gogilidze, V. V. Sanadze, Yu. S. Surovtsev, and G. F. Tkebuchava, “Higher derivatives in gauge transformations,” Preprint JINR R2-92-454 [in Russian], JINR, Dubna (1992).

    Google Scholar 

  12. V. I. Smirnov,Course of Higher Mathematics, Vol. 4, Part 2 [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  13. L. P. Eisenhart,Continuous Groups of Transformations, Princeton (1933).

  14. D. M. Gitman and I. V. Tyutin,Canonical Quantization of Fields with Constraints [in Russian], Nauka, Moscow (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of High Energy Physics of the State University, Tbilisi, Georgia

    S. A. Gogilidze, V. V. Sanadze & F. G. Tkebuchava

Authors
  1. S. A. Gogilidze
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Sanadze
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. S. Surovtsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. F. G. Tkebuchava
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Joint Institute for Nuclear Research; State University, Tbilisi. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 102, No. 1, pp. 66–73, January, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gogilidze, S.A., Sanadze, V.V., Surovtsev, Y.S. et al. Gauge transformations in constrained theories. Theor Math Phys 102, 47–52 (1995). https://doi.org/10.1007/BF01017454

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017454

Keywords

Search

Navigation