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Extending the usual Ginzburg-Landau theory for the random-field Ising model,the possibility of dimensional reduction is reconsidered. A renormalizationgroup for the probability distribution of magnetic impurities is applied. Newparameters corresponding to the extra $\phi^4$ coupling constants in thereplica Hamiltonian are introduced. Although they do not affect the criticalphenomena near the upper critical dimension, they can when dimensions arelowered.Comment: 16 pages, 11 figures, revte

RENORMALIZATION GROUP FOR THE PROBABILITY DISTRIBUTION OF MAGNETIC IMPURITIES IN A RANDOM-FIELD ϕ4 MODEL

RENORMALIZATION GROUP FOR THE PROBABILITY DISTRIBUTION OF MAGNETIC IMPURITIES IN A RANDOM-FIELD ϕ⁴ MODEL