Skip to main content
Log in

Canonical analysis and quantization of threedimensional topologically massive gravity

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

Abstract

A canonical formulation with constraints for three-dimensional topologically massive gravity is constructed. All the constraints and their algebra are found explicitly. The case of pure Chern—Simons gravity is considered. The local measure in the functional integral is calculated and the role it plays in the cancellation of volume divergences is traced.

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. S. Deser, R. Jackiw, and S. Templeton,Phys. Rev. Lett.,48, 975 (1982);Ann. Phys. (N.Y.),140, 372 (1982).

    Google Scholar 

  2. S. Deser and Z. Yang,Class. Quant. Grav.,7, 1603 (1990).

    Google Scholar 

  3. B. Keszthebyi and G. Kleppe,Phys. Lett.,281B, 33 (1992).

    Google Scholar 

  4. S. Deser and X. Xiang,Phys. Lett. 263B, 39 (1991).

    Google Scholar 

  5. D. M. Gitman, S. L. Lyakhovich, and I. V. Tyutin,Izv. Vyssh. Uchebn. Zaved. Fiz., No. 8, 61 (1983).

    Google Scholar 

  6. I. L. Buchbinder and S. L. Lyakhovich,Class. Quant. Grav.,4, 1487 (1987).

    Google Scholar 

  7. I. L. Bukhbinder and S. L. Lyakhovich,Teor. mat. Fiz.,72, 204 (1987).

    Google Scholar 

  8. I. L. Buchbinder, I. Yu. Karataeva, and S. L. Lyakhovich,Class. Quant. Grav.,8, 1113 (1991).

    Google Scholar 

  9. E. S. Fradkin and G. A. Vilkovisky,Phys. Rev.,D 8, 4241 (1973).

    Google Scholar 

  10. E. S. Fradkin and G. A. Vilkovisky,Lett. Nuovo Cimento,19, 47 (1977).

    Google Scholar 

  11. E. S. Fradkin and G. A. vilkovisky, Preprint, Institute of Theoretical Physics at the University of Bern, October (1976).

  12. A. N. Tikhonov and A. A. Samarskii,The Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

Download references

Authors

Additional information

State Pedagogical Institute, Tomsk. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 3, pp. 444–457, September, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bukhbinder, I.L., Krykhtin, V.A. & Lyakhovich, S.L. Canonical analysis and quantization of threedimensional topologically massive gravity. Theor Math Phys 100, 1132–1141 (1994). https://doi.org/10.1007/BF01018578

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01018578

Keywords

Navigation