Skip to main content
Log in

Quantization of Yang—Mills Theory

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The canonical formulation of a constrained system is discussed. Quantization ofthe massive Yang—Mills field as an application of a field theory containingsecond-class constraints is studied. The set of Hamilton—Jacobi partialdifferential equations and the path integral of these theories are obtained byusing the Muslih method.

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.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. P. A. M. Dirac (1964), Lectures of Quantum Mechanics, Yeshiva University Press, New York.

    Google Scholar 

  2. P. A. M. Dirac (1950), Can J. Math. 2, 129.

    Google Scholar 

  3. D. M. Gitman and I. V. Tyutin (1990), Quantization of Fields with Constraints, Springer-Verlag, Berlin.

    Google Scholar 

  4. M. Henneaux and C. Teitelboim (1992), Quantization of Gauge Systems, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  5. R. M. Santilli (1983), Foundations of Theoretical Mechanics, Vol. II, Springer-Verlag, Berlin.

    Google Scholar 

  6. L. D. Faddeev (1969), Teoret. Mat. Fiz. 1, 3 [(1970), Theor. Math. Phys. 1, 1].

    Google Scholar 

  7. P. Senjanovic (1976), Ann. Phys. (NY) 100, 227.

    Google Scholar 

  8. E. S. Frankin (1973), In Proceedings of the 10th Winter School of Theoretical Physics in Karpacz, Acta Univ. Wratisl. No. 207.

  9. Y. Güler (1992), Nuovo Cimento 107B, 1389.

    Google Scholar 

  10. Y. Güler (1992), Nuovo Cimento 107B, 1143.

    Google Scholar 

  11. S. I. Muslih and Y. Güler (1998), Nuovo Cimento 113B, 277.

    Google Scholar 

  12. Y. Güler (1987), Nuovo Cimento 100B, 251, 267; (1989), J. Math. Phys. 30, 785.

    Google Scholar 

  13. S. I. Muslih (2000), Nuovo Cimento 115B, 1.

    Google Scholar 

  14. S. I. Muslih (2000), Nuovo Cimento 115B, 7.

    Google Scholar 

  15. S. I. Muslih (2000), Path integral formulation of constrained systems, Hardonic J. 23, (to appear).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Muslih, S.I., El-Zalan, H.A. & El-Sabaa, F. Quantization of Yang—Mills Theory. International Journal of Theoretical Physics 39, 2495–2502 (2000). https://doi.org/10.1023/A:1026493105409

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026493105409

Keywords

Navigation