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A eld-theoreti des ription of the riti al behaviour of the weakly disordered systems is given. Dire tly, for threeand two-dimensional systems a renormalization analysis of the e e tive Hamiltonian of the model with repli a symmetry breaking (RSB) potentials is arried out in the two-loop approximation. For the ase with rst-step RSB the xed points (FPs) orresponding to the stability of the various types of riti al behaviour are identi ed with the use of the Pad e{Borel summation te hnique. The analysis of FPs has shown a stability of the riti al behaviour of the weakly disordered threeand two-dimensional systems with respe t to RSB e e ts and realization of the former s enario of disorder in uen e on riti al behaviour. For the ase of systems with arbitrary dimension from 3 to 4 the ranges of riti al behaviour determined by the RSB e e ts are found for ea h value of the pomponent order parameter without the use of "-expansion. A omparison with the results of the "-expansion al ulations is arried out.

Critical behaviour of weakly disordered systems with replica symmetry breaking potentials