How to expand around mean-field theory using high-temperature expansions

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Direct-coupling analysis of residue coevolution captures native contacts across many protein families (2011, methodology): “The approach is based on a small-coupling expansion (47, 48), which is explained in detail in the Supplement: The exponential of !”
Electronic structure calculations with dynamical mean-field theory (2005, methodology): “…inversion method, a powerful technique introduced to derive the TAP Thouless-AndersonPalmer equations in spin glasses by Plefka 1982 and by Fukuda 1988 to investigate chiral symmetry breaking in QCD see also Georges and Yedidia 1991b ; Fukuda et al. 1994 ; Opper and Winther 2001 ; Yedidia 2001 .”
Statistical physics of inference: thresholds and algorithms (2015, background): “Interestingly, these equations can be seen as “improved” variational mean-field equations, and this is at the roots of many perturbation approaches (such as Plefka/Yedidia-Georges [107, 253] or Kikuchi [163]).”
Fractal free energy landscapes in structural glasses (2014, background): “is an established strategy in quantum mechanics, atomic physics and statistical mechanics when there are no small parameters [29, 30], and the glass problem is no exception.”
Inverse statistical problems: from the inverse Ising problem to data science (2017, methodology): “The terms in J ij , J 2 ij , J 3 ij , etc. appearing in (93)-(95) resum to the results of the Bethe–Peierls ansatz [80].”