Replicon modes in the renormalization group with replica symmetry breaking

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