Scaling in spin glasses.

01 January 1985

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Many results of the field theory of spin glasses violate simple scaling laws, including the magnetic filed dependence of the transition lines, crossover effects of random anisotropy, and critical behavior in the ordered phase. These violations arise from two dangerously irrelevant variables. Below eight dimensions some mean field exponents change and at d=6 scaling is restored. Below d=6 all scaling laws should be valid implying that the critical properties of real spin glasses may be similar than mean field