Abstract
A field-theoretic description of the critical behavior of weakly disordered systems with a p-component order parameter is given. For systems of an arbitrary dimension in the range from three to four, a renormalization group analysis of the effective replica Hamiltonian of the model with an interaction potential without replica symmetry is given in the two-loop approximation. For the case of the one-step replica symmetry breaking, fixed points of the renormalization group equations are found using the Padé-Borel summing technique. For every value p, the threshold dimensions of the system that separate the regions of different types of critical behavior are found by analyzing those fixed points. Specific features of the critical behavior determined by the replica symmetry breaking are described. The results are compared with those obtained by the ε expansion, and the scope of the method applicability is determined.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 3, 2002, pp. 636–646.
Original Russian Text Copyright © 2002 by V. Prudnikov, P. Prudnikov.
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Prudnikov, V.V., Prudnikov, P.V. Critical behavior of disordered systems with replica symmetry breaking. J. Exp. Theor. Phys. 95, 550–559 (2002). https://doi.org/10.1134/1.1513829
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DOI: https://doi.org/10.1134/1.1513829