Abstract
The Gaussian inequality is proven for multicomponent rotators with negative correlations between two spin components. In the case of one-component systems, the Gaussian inequality is shown to be a consequence of Lebowitz' inequality. For multicomponent models, the Gaussian inequality implies that the decay rate of the truncated correlation (or Schwinger) functions is dominated by that of the two-point function. Applied to field theory, these inequalities give information on the absence of bound states in the λ(φ1 2 + φ1 2)2 model.
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Bricmont, J. The Gaussian inequality for multicomponent rotators. J Stat Phys 17, 289–300 (1977). https://doi.org/10.1007/BF01014399
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DOI: https://doi.org/10.1007/BF01014399