Some Applications of the Lee-yang Theorem

نویسندگان

  • Jürg Fröhlich
  • Pierre-François Rodriguez
چکیده

For lattice systems of statistical mechanics satisfying a Lee-Yang property (i.e., for which the Lee-Yang circle theorem holds), we present a simple proof of analyticity of (connected) correlations as functions of an external magnetic field h, for Re h 6= 0. A survey of models known to have the Lee-Yang property is given. We conclude by describing various applications of the aforementioned analyticity in h.

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تاریخ انتشار 2012