A large number of derivatives of the free energy with respect to the magnetic field are computed for the two-dimensional spin- 1 / 2 Ising model along the phase boundary H=0, T<T c . This series is found to be divergent, and so the phase boundary is a line of analytic singularities. The same analysis in three dimensions leads to the same conclusion, with lower precision.
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Baker et al. (1980) studied this question.
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