Theory of symmetric electrolyte solutions: Field-theoretic approach

We provide perturbative, nonperturbative, and renormalization-group treatments of the symmetric electrolyte problem which permits us to obtain the corrections to the known Debye-H\"uckel 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.