Condensed Matter Physics, 1995, No. 5, p. 23-41, English
Title: Theory of phase transitions by the collective variables method: accurate critical indices and detailed comparison with the other approaches
Authors: Ja.M. Ilnytskyi, M.P. Kozlovskii

We discuss the collective variables method which was developed in the theory of phase transitions by Yukhnovskii. Here we present an effective combination of this approach with the Wilson's renormalization group scheme. Accurate critical indices were obtained in the case of $n$-component model using $\epsilon$-expansion procedure. We made the detailed comparison between these two approaches based on comparing of two correspondent diagrammatic sets and discuss stability of the results.

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