Field theoretic operators for multifractal moments

Details Field theoretic operators for multifractal moments Field theoretic operators for multifractal moments

1997-05-27

arxiv.org/abs/cond-mat/9705274v1

Renormalization Group 96, D.V. Shirkov et al. eds. (JINR, Dubna 1997) p.123

Physics

Condensed Matter

14 pages, revtex, 2 latex pictures

Scientific paper

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

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