Skip to main content
SpringerLink
Log in

Construction of exponential Liouville field operators for closed string models

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

Operators for arbitrary exponentials exp(λφ) of a periodic Liouville field φ(τ,σ) are represented iteratively by an infinite power series in terms of a periodic scalar free field. Necessary quantum corrections of the Liouville operators with respect to their classical expressions are fixed by conformal covariance and locality. Canonical commutation relations for the Liouville field quantities are valid when the canonical quantization of the scalar free field is imposed. A quantum correction of the energy momentum tensor can be avoided thus preserving the conformal invariance of the Liouville theory.

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. A.M. Polyakov: Phys. Lett.105B, 207 (1981)

    Google Scholar 

  2. M. Jacob (Ed.): Dual Theory. Amsterdam: North Holland; J. Scherk: Rev. Mod. Phys.47, 123 (1975)

  3. B. Durhuus, H.B. Nielsen, P. Olesen, J.L. Petersen: Nucl. Phys.B196, 498 (1982); B. Durhuus, P. Olesen, J.L. Petersen: Nucl. Phys.B198, 157 (1982);B210, 176 (1982)

    Google Scholar 

  4. J.L. Gervais, A. Neveu: Nucl. Phys.B199, 59 (1982);B209, 125 (1982);B224, 329 (1983)

    Google Scholar 

  5. L.A. Takhtajan, L.D. Faddeev: (unpublished), to appear in a review article by A.K. Pogrebkov, M.C. Polivanov

  6. E. Braaten, T. Curtright, C. Thorn: Ann. Phys. (NY)147, 365 (1983)

    Google Scholar 

  7. L. Johansson, R. Marnelius: ITP-Göteborg preprint 84-13; Nucl. Phys.B254, 201 (1985)

  8. T. Curtright: Talk at the XXIIth HEP Conference, Leipzig, 1984, unpublished

  9. J.L. Gervais, A. Neveu: Nucl. Phys.B238, 125, 396 (1984)

    Google Scholar 

  10. H.J. Otto, G. Weigt: Proc. Ahrenshoop, GDR, 1984; Phys. Lett.159B, 341 (1985)

  11. E.D. Hoker, R. Jackiw: Phys. Rev.D26, 3517 (1982)

    Google Scholar 

  12. T. Kawai, K. Yamagishi: preprint UT-Komaba 84-17

  13. A.N. Leznov, M.V. Saveliev, I.A. Fedoseev: Particle and Fields, Vol. 16 Part 1, 183, Dubna (1985)

    Google Scholar 

  14. D. Friedan, Zongan Qiu, St. Shenker: preprint EFI 83-66; Phys. Rev. Lett.52, 1575 (1984)

    Google Scholar 

  15. S. Hwang: Phys. Rev.D28, 2614 (1983)

    Google Scholar 

  16. A.A. Belavin, A.M. Polyakov, A.B. Zamoldchikov: Nucl. Phys.B241, 333 (1984)

    Google Scholar 

  17. J.L. Gervais, A. Neveu: preprints CERN TH 3954/84, TH 3955/84, TH 4051/84 and LPTENS 84/29

Download references

Author information

Authors and Affiliations

  1. Sektion Physik der Humboldt-Universität, Invalidenstraße 110, DDR-1040, Berlin, German Democratic Republic

    H. J. Otto

  2. Institut für Hochenergiephysik der Akademie der Wissenschaften der DDR, Berlin-Zeuthen, Platanenallee 6, DDR-1615, Zeuthen, German Democratic Republic

    G. Weigt

Authors
  1. H. J. Otto
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Weigt
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Otto, H.J., Weigt, G. Construction of exponential Liouville field operators for closed string models. Z. Phys. C - Particles and Fields 31, 219–228 (1986). https://doi.org/10.1007/BF01479530

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01479530

Keywords

Search

Navigation