Field theoretic operators for multifractal moments
Abstract
While multifractal spectra are convex, general field theoretic arguments show that power of field operators ϕf yield a concave spectrum of exponents as function of f. This is resolved by appropriate choice of operators to describe multifractal moments. In a Lagrangian field theory of two mutually interacting species of fields ϕ,ψ, operators Of'f=ψf'ϕf with traceless symmetry give rise to multifractal spectra of harmonic diffusion near absorbing fractals when evaluated for zero component fields.
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