Generalized Crossover in multiparameter Hamiltonians

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Many systems near criticality can be described by Hamiltonians involving several relevant couplings and possessing many nontrivial fixed points. A simple and physically appealing characterization of the crossover lines and surfaces connecting different nontrivial fixed points is presented. Generalized crossover is related to the vanishing of the RG function Zₜ⁻¹. An explicit example is discussed in detail based on the tetragonal GLW Hamiltonian.