Skip to main content
Log in

Constrained quantization of a topologically massive gauge theory in (2+1)-dimensions

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We present a canonical quantization for a gauge field theory in a (2+1) dimensional space-time in both Dirac brackets and Schwinger action principle formalisms.

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. F. Wilczek: Phys. Rev. Lett. 51 (1983) 2250; R. Jackiw, S. Deser, S. Templeton: Ann. Phys. 140 (1982) 372; G. Semenoff: Phys. Rev. Lett. 60 (1988) 516; C.R. Hagen: Ann. Phys. 157 (1984) 342; Y.S. Wu: Phys. Rev. Lett. 52 (1984) 2103; 53 (1984) 111

    Google Scholar 

  2. M.G.G. Laidlaw, C. Morette De Witt: Phys. Rev. D3 (1971) 1375; L.S. Schulman: Techniques and applications of path integrals. New York: Wyley 1981

    Google Scholar 

  3. For a recent review see R. MacKenzie, F. Wilczek: Int. J. Med. Phys. A3 (1988) 2827

    Google Scholar 

  4. S. Schoenfeld; Nucl. Phys. B185 (1981) 157

    Google Scholar 

  5. R. Jackiw: in Gauge theories of the eighties. Lectures Notes in Physics, Vol. 181, R. Raitio, J. Linfors (eds.). Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  6. R.B. Laughlin: Phys. Rev. Lett. 50 (1983) 1395; S.C. Zhang, T.H. Hanson, S. Kivelson: Phys. Rev. Lett. 62 (1989) 82

    Google Scholar 

  7. P. Wiegman: Phys. Rev. Lett. 60 (1988) 821; A.M. Polyakov: Mod. Phys. Lett. A3 (1988) 325

    Google Scholar 

  8. L.D. Faddeev, R. Jackiw: Phys. Rev. Lett. 60 (1988) 1692

    Google Scholar 

  9. P.A.M. Dirac: Lectures on quantum mechanics. New York: Yeshiva University, 1964

    Google Scholar 

  10. J. Barcelos-Neto, A. Das, W. Scherer: Act. Phys. Pol. B18 (1987) 269; A. Das, W. Scherer: Z. Phys. C — Particles and Fields 35 (1987) 527

    Google Scholar 

  11. J. Schwinger: Brandeis Summer Institute Vol. 2, p. 145; K. Johnson et al. (eds.) New Jersey: Prentice Hall 1964

    Google Scholar 

  12. R. Jackiw, S. Deser, S. Templeton: in [1]; C.R. Hagen: in [1]

    Google Scholar 

  13. One can compare this field with the auxiliary field in the Gross-Neveu model, introduced to eliminate the self-coupling of the fermionic current

  14. J.M. Martínez-Fernández, C. Wotzasek: in preparation

  15. G.A. Goldin: in Local current and their applications. D.H. Sharp, S. Wightman (eds.) Amsterdam: North Holland 1974

    Google Scholar 

  16. We want to thank Shibaji Roy for showing us the way out of some difficulties while doing this calculation

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martínez-Fernández, J.M., Wotzasek, C. Constrained quantization of a topologically massive gauge theory in (2+1)-dimensions. Z. Phys. C - Particles and Fields 43, 305–312 (1989). https://doi.org/10.1007/BF01588219

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01588219

Keywords

Navigation