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Logarithmic Correlations in Quenched Random Magnets and Polymers

John Cardy
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Abstract

It is argued that logarithmic factors multiplying power law behavior are to be expected at or near non-mean field critical points of systems with short-range interactions described theoretically by any kind of n -> 0 limit, in which the effective free energy vanishes. Explicit examples are given for quenched random ferromagnets, polymer statistics and percolation, but the phenomenon is quite general.

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John Cardy. 1999-11-03. Logarithmic Correlations in Quenched Random Magnets and Polymers. https://arxiv.org/abs/cond-mat/9911024

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