Phase Transitions and Reflection Positivity . I . General Theory and Long Range Lattice Models

  title={Phase Transitions and Reflection Positivity . I . General Theory and Long Range Lattice Models},
  author={Jίirg Frδhlich and R. K. Israel and Elliot H. Lieb and Barry Simon},
We systematize the study of reflection positivity in statistical mechanical models, and thereby two techniques in the theory of phase transitions: the method of infrared bounds and the chessboard method of estimating contour probabilities in Peierls arguments. We illustrate the ideas by applying them to models with long range interactions in one and two dimensions. Additional applications are discussed in a second paper. 

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