The Gaussian inequality for multicomponent rotators

Bricmont, Jean
(1977) Journal of Statistical Physics — Vol. 17, n° 5, p. 289-300 (1977)

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  • Bricmont, JeanUCLouvain
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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 the 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 lambda ( phi /sub 1 //sup 2/+ phi /sub 2//sup 2/)/sup 2/ model.
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Bricmont, J. (1977). The Gaussian inequality for multicomponent rotators. Journal of Statistical Physics, 17(5), 289-300. https://doi.org/10.1007/BF01014399 (Original work published 1977)