Skip to main content
SpringerLink
Log in

Dual field formulation of quantum integrable models

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

Equal time correlators are studied in completely integrable models. The main example is the quantum non-linear Schrödinger equation. Introduction of an auxiliary Fock space permits us to represent the generating functional of correlators in the form of a determinant of the integral operator.

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. Faddeev, L.D.: Quantum inverse scattering method. Sov. Sci. Rev. Math. Phys. C1, 107–166 (1981)

    Google Scholar 

  2. Korepin, V.E.: Calculation of norms of Bethe wave functions. Commun. Math. Phys.86, 319–418 (1982)

    Google Scholar 

  3. Korepin, V.E.: Analysis of bilinear relation for 6-vertex model. Doklady AN SSSR265, 1361–1364 (1982)

    Google Scholar 

  4. Izergin, A.G., Korepin, V.E.: The quantum inverse scattering method approach to correlation functions. Commun. Math. Phys.94, 67–92 (1984)

    Google Scholar 

  5. Korepin, V.E.: Correlation functions of the one-dimensional Bose gas. Commun. Math. Phys.94, 93–113 (1984)

    Google Scholar 

  6. Bogoliubov, N.M., Izergin, A.G., Korepin, V.E.: Exactly solvable problems in condensed matter and relativistic field theory. Lecture Notes in Physics, Vol. 242, pp. 220–316. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  7. Izergin, A.G.: Partition function of 6 vertex model. Doklady AN SSSR (submitted)

  8. Bogoliubov, N.M., Korepin, V.E.: Correlation length of the one-dimensional Bose gas. Nucl. Phys. B257 [FS114], 760–778 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Leningrad Department of Steklov Mathematical Institute, Fontanka 27, SU-191011, Leningrad, USSR

    V. E. Korepin

Authors
  1. V. E. Korepin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by A. Jaffe

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korepin, V.E. Dual field formulation of quantum integrable models. Commun.Math. Phys. 113, 177–190 (1987). https://doi.org/10.1007/BF01223510

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01223510

Keywords

Search

Navigation