# Free-energy functional of instantaneous correlation field in liquids: Field-theoretic derivation of the closures.

@article{Frusawa2020FreeenergyFO, title={Free-energy functional of instantaneous correlation field in liquids: Field-theoretic derivation of the closures.}, author={H. Frusawa}, journal={Physical review. E}, year={2020}, volume={102 1-1}, pages={ 012117 } }

This paper presents a unified method for formulating a field-theoretic perturbation theory that encompasses the conventional liquid state theory. First, the free-energy functional of an instantaneous correlation field is obtained from the functional-integral representation of the grand potential. Next, we demonstrate that the instantaneous free-energy functional yields a closure relation between the correlation functions in the mean-field approximation. Notably, the obtained closure relation… Expand

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