Skip to main content
SpringerLink
Log in

Structure of the anomaly in the canonical quantization of bosonic strings in background fields

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

Abstract

We consider the anomaly problem in the generalized canonical quantization of a bosonic string interacting with background graviton and antisymmetric tensor fields. We derive an equation for the symbol of the anomaly operator, find a solution to that equation, and establish a general form for the anomaly operator allowed by the quantization procedure.

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. C. Lovelace,Phys. Lett. B,135, 75 (1984).

    Google Scholar 

  2. E. S. Fradkin and A. A. Tseytlin,Phys. Lett. B,158, 316 (1985);Nucl. Phys. B,261, 1 (1985).

    Google Scholar 

  3. C. Callan, E. Martinec, M. Perry, and D. Friedan,Nucl. Phys. B,262, 593 (1985).

    Google Scholar 

  4. A. Sen,Phys. Rev. Lett.,55, 1846 (1985);Phys. Rev. D,32, 210 (1985).

    Google Scholar 

  5. A. A. Tseytlin,Nucl. Phys. B,294, 383 (1987).

    Google Scholar 

  6. H. Osborn,Nucl. Phys. B,294, 595 (1987).

    Google Scholar 

  7. A. A. Tseytlin,Int. J. Mod. Phys. A,4, 4249 (1989).

    Google Scholar 

  8. H. Osborn,Ann. Phys.,200, 1 (1990).

    Google Scholar 

  9. E. S. Fradkin and G. A. Vilkovyskii (Vilkovisky),Phys. Lett. B,55, 224 (1975).

    Google Scholar 

  10. I. A. Batalin and G. A. Vilkovyskii (Vilkovisky),Phys. Lett. B,69, 409 (1977).

    Google Scholar 

  11. E. S. Fradkin and T. E. Fradkina,Phys. Lett. B,72, 343 (1978).

    Google Scholar 

  12. I. A. Batalin and E. S. Fradkin,Phys. Lett. B,128, 303 (1983);J. Math. Phys.,25, 2426 (1984);Phys. Lett. B,180, 157 (1986);Nucl. Phys. B,279, 514 (1987).

    Google Scholar 

  13. I. A. Batalin and E. S. Fradkin,Riv. Nuovo Cimento,9, 1 (1986).

    Google Scholar 

  14. I. A. Batalin and E. S. Fradkin,Ann. Inst. Henri Poincaré,49, 145 (1988).

    Google Scholar 

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

    Google Scholar 

  16. I. L. Buchbinder, E. S. Fradkin, S. L. Lyakhovich, and V. D. Pershin,Int. J. Mod. Phys. A,6, 1211 (1991).

    Google Scholar 

  17. T. Fujiwara, Y. Igarashi, J. Kubo, and K. Maeda,Nucl. Phys. B,391, 211 (1993).

    Google Scholar 

  18. T. Fujiwara, Y. Igarashi, M. Koseki, R. Kuriki, and T. Tabei,Nucl. Phys. B,425, 289 (1994).

    Google Scholar 

  19. F. A. Berezin and M. A. Shubin,The Schrödinger Equation [in Russian], Moscow State Univ. Publ., Moscow (1983).

    Google Scholar 

  20. C. Curci and G. Paffutti,Nucl. Phys. B,286, 344 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tomsk State Pedagogical University, USSR

    I. L. Buchbinder, E. I. Buchbinder, B. R. Mishchuk & V. D. Pershin

Authors
  1. I. L. Buchbinder
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. I. Buchbinder
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. R. Mishchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. V. D. Pershin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 2, pp. 294–305, August, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Buchbinder, I.L., Buchbinder, E.I., Mishchuk, B.R. et al. Structure of the anomaly in the canonical quantization of bosonic strings in background fields. Theor Math Phys 108, 1083–1092 (1996). https://doi.org/10.1007/BF02070676

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02070676

Keywords

Search

Navigation