The renormalization group for the statistical mechanics of a wave field is described. The hypothesis of scaling of correlations near an order-disorder phase-transition point is written in renormalization-group terms. The renormalization-group equations near a fixed point are investigated. The scaling dimensions (critical indices) of the principal quantities are found in the $\epsilon$-approximation. The stability of manycomponent systems and the question of asymptotic symmetry are investigated. The renormalization method is applied to the study of the dynamics of systems near a phase-transition point.

PT Journal Article
TI The renormalization-group method in the theory of phase transitions
AU Patashinskii A Z
FAU Patashinskii AZ
AU Pokrovskii V L
FAU Pokrovskii VL
DP 10 Jan, 1977
TA Phys. Usp.
VI 20
IP 1
PG 31-54
RX 10.1070/PU1977v020n01ABEH005315
URL https://ufn.ru/en/articles/1977/1/b/
SO Phys. Usp. 1977 Jan 10;20(1):31-54