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Field theoretic operators for multifractal moments

Christian von Ferber·Yurij Holovatch
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Abstract

While multifractal spectra are convex, general field theoretic arguments show that power of field operators $ϕ^f$ 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 $O_{f'f}=ψ^{f'}ϕ^f$ with traceless symmetry give rise to multifractal spectra of harmonic diffusion near absorbing fractals when evaluated for zero component fields.

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Christian von Ferber, Yurij Holovatch. 1997-05-27. Field theoretic operators for multifractal moments. https://arxiv.org/abs/cond-mat/9705274

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