Analyticity of correlation functions for the two-dimensional Ising model |
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Authors: | Huzihiro Araki |
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Affiliation: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan |
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Abstract: | Analyticity of correlation functions for the two-dimensional Ising model as a function of the inverse temperature except for the singularity at the critical temperature is proved. A crucial step is the establishment of the correspondence between extremal equilibrium states of the model and pure ground states of a one-dimensional spin system below the critical temperatureTc. An exact decay rate of the clustering property along axes is also determined for allTTc. |
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