Skip to main content
SpringerLink
Log in

2D Models of Statistical Physics with Continuous Symmetry: The Case of Singular Interactions

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

Abstract:

We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integrable singularities. We also present cases of singular interactions with continuous symmetry, when the symmetry is broken in the thermodynamic limit.

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

Author information

Authors and Affiliations

  1. Dept. of Industrial Engineering, Technion, Haifa, Israel. E-mail: ieioffe@ie.technion.ac.il, , , , , , IL

    D. Ioffe

  2. CPT, Luminy, Marseille, France. E-mail: shlosman@cpt.univ-mrs.fr, , , , , , FR

    S. Shlosman

  3. UMR-CNRS 6632, CMI, Marseille, France. E-mail: velenik@cmi.univ-mrs.fr, , , , , , FR

    Y. Velenik

Authors
  1. D. Ioffe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Shlosman
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. Velenik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 18 October 2001 / Accepted: 7 January 2002

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ioffe, D., Shlosman, S. & Velenik, Y. 2D Models of Statistical Physics with Continuous Symmetry: The Case of Singular Interactions. Commun. Math. Phys. 226, 433–454 (2002). https://doi.org/10.1007/s002200200627

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200200627

Keywords

Search

Navigation