Gaussian bounds for correlations in lattice spin systems |
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| Authors: | Hal Tasaki |
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| Affiliation: | (1) Department of Physics, Faculty of Science, University of Tokyo, Hongo, Bunkyo-ku, 113 Tokyo, Japan |
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| Abstract: | ![]()
In quite generalN-component ferromagnetic spin systems, it is proved that an arbitrary correlation function is bounded by the corresponding correlation function of a Gaussian model. The bound is useful for the analysis of high-temperature behavior of the system. Similar bounds for truncated correlation functions are also obtained for a class of single-component spin systems. |
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| Keywords: | Rigorous inequalities Gaussian model clustering properties truncated correlation functions |
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