Abstract
A collection of new and already known correlation inequalities is found for a family of two-component hypercubicϕ 4 models, using techniques of duplicated variables, rotated correlation inequalities, and random walk representation. Among the interesting new inequalities are: rotated very special Dunlop-Newman inequality〈ϕ 21,x ;ϕ 21,z +ϕ 22g 〉⩾0, rotated Griffiths I inequality 〈ϕ1,x ϕ1,y ;ϕ 21z 〉⩾0, and anti-Lebowitz inequalityu 11114 >-0.
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Soria, J.L. Correlation inequalities for two-component hypercubicϕ 4 models. J Stat Phys 52, 711–726 (1988). https://doi.org/10.1007/BF01019725
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DOI: https://doi.org/10.1007/BF01019725