A ug 2 00 3 Critical behavior of disordered systems with replica symmetry breaking
نویسندگان
چکیده
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 Pade-Borel summing technique. For every value p, the threshold dimensions of the system that separate the regions of different types of the 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.
منابع مشابه
Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking
A field-theoretic description of the critical behaviour of the weakly disordered systems is given. Directly, for three-and two-dimensional systems a renormal-ization analysis of the effective Hamiltonian of model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For case with 1-step RSB the fixed points (FP's) corresponding to stability of the various...
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