Abstract
The renormalization group with replica symmetry (RSB) breaking is studied for the disordered ferromagnets. The ε-expansion (ε= 4-D, D is the spatial dimension) is used. For fixed points with step-like RSB structure replicon eigenvalues are defined to describe the stability of the fixed points with respect to the continuous lESB perturbation. It is shown that this method can be generalized to the cases in which the number of the steps in the step-like RSB structure and the order of expansion are arbitrary.
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