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Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions

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Abstract

We discuss applications of the abstract scheme of part I of this work, in particular of infrared bounds and chessboard estimates, to proving the existence of phase transitions in lattice systems. Included are antiferromagnets in an external field, hard-core exclusion models, classical and quantum Coulomb lattice gases, and six-vertex models.

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Author information

Authors and Affiliations

  1. IHES, Bures-sur-Yvette, France

    Jürg Fröhlich

  2. Department of Mathematics, University of British Columbia, Vancouver, Canada

    Robert B. Israel

  3. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey

    Elliott H. Lieb & Barry Simon

Authors
  1. Jürg Fröhlich
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  2. Robert B. Israel
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  3. Elliott H. Lieb
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  4. Barry Simon
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Additional information

Research partially supported by Canadian National Research Council Grant A4015 and U.S. National Science Foundation Grants PHY-77-18762, MCS-75-21684-A02, and MCS-78-01885.

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Fröhlich, J., Israel, R.B., Lieb, E.H. et al. Phase transitions and reflection positivity. II. Lattice systems with short-range and Coulomb interactions. J Stat Phys 22, 297–347 (1980). https://doi.org/10.1007/BF01014646

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  • DOI: https://doi.org/10.1007/BF01014646

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