Skip to main content
SpringerLink
Log in

Lieb's correlation inequality for plane rotors

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

Abstract

We prove a conjecture by E. Lieb, which leads to the Lieb inequality for plane rotors. As in the Ising model case, this inequality implies the existence of an algorithm to compute the transition temperature of this model.

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. Lieb, E.: Commun. Math. Phys.77, 127–135 (1980)

    Google Scholar 

  2. Simon, B.: Commun. Math. Phys.77, 111–126 (1980). See also references therein

    Google Scholar 

  3. Boel, R.J., Kasteleyn, P.W.: Commun. Math. Phys.61, 191 (1978)

    Article  Google Scholar 

  4. Boel, R.J., Kasteleyn, P.W.: Physica93A, 503 (1978)

    Google Scholar 

  5. Boel, R.J., Kasteleyn, P.W.: Commun. Math. Phys.66, 167 (1979)

    Article  Google Scholar 

  6. Kasteleyn, P.W., Boel, R.J.: Phys. Lett.70, 220 (1979)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre de Physique Théorique, École Polytechnique, F-91128, Palaiseau Cedex, France

    V. Rivasseau

Authors
  1. V. Rivasseau
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by E. Lieb

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rivasseau, V. Lieb's correlation inequality for plane rotors. Commun.Math. Phys. 77, 145–147 (1980). https://doi.org/10.1007/BF01982714

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01982714

Keywords

Search

Navigation