Theory of symmetric electrolyte solutions: Field-theoretic approach

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Abstract
We provide perturbative, nonperturbative, and renormalization-group treatments of the symmetric electrolyte problem which permits us to obtain the corrections to the known Debye-Hückel results in a systematic way. In addition, nonperturbative methods enabled us to obtain some results for the case of dense electrolyte systems. The renormalization-group method is used to investigate the possibility of phase transitions. Our results indicate the absence of phase transitions in three dimensions for a sufficiently diluted symmetric electrolyte in complete agreement with the results of Kosterlitz.

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