97-01E

# 97-01E

By - Posted on 08 February 2012

UDC:
530.145
PACS:
61.41.+e, 64.60.Ak, 64.60.Fr, 11.10.Gh-

Field theoretic operators for multifractal moments

Ch. von Ferber
Yu. Holovatch

Convexity of multifractal spectra seems to contradict general field theoretic arguments showing 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.

Year:
1997
Pages:
16