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Correlation inequalities for multicomponent rotators

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Abstract

A recent approach to G.H.S. and Lebowitz inequalities is used to prove Griffiths' second inequality for 3 and 4 component models (e.g. Classical Heisenberg model, |ϕ|4 Euclidean fields). Applications include monotonicity of the mass gap in the external field, and two-sided inequalities between “parallel” and “transverse” correlations.

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Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    François Dunlop

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  1. François Dunlop
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Communicated by G. Gallavotti

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Dunlop, F. Correlation inequalities for multicomponent rotators. Commun.Math. Phys. 49, 247–256 (1976). https://doi.org/10.1007/BF01608730

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  • DOI: https://doi.org/10.1007/BF01608730

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