Article
Version 1
Preserved in Portico This version is not peer-reviewed
Mapping Effective Field Theory to Multifractal Geometry
Version 1
: Received: 19 May 2021 / Approved: 21 May 2021 / Online: 21 May 2021 (08:26:22 CEST)
Version 2 : Received: 24 May 2021 / Approved: 24 May 2021 / Online: 24 May 2021 (15:16:54 CEST)
Version 2 : Received: 24 May 2021 / Approved: 24 May 2021 / Online: 24 May 2021 (15:16:54 CEST)
How to cite: Goldfain, E. Mapping Effective Field Theory to Multifractal Geometry. Preprints 2021, 2021050502. https://doi.org/10.20944/preprints202105.0502.v1 Goldfain, E. Mapping Effective Field Theory to Multifractal Geometry. Preprints 2021, 2021050502. https://doi.org/10.20944/preprints202105.0502.v1
Abstract
Fractals and multifractals are well-known trademarks of nonlinear dynamics and classical chaos. The goal of this work is to tentatively uncover the unforeseen path from multifractals and selfsimilarity to the framework of effective field theory (EFT). An intriguing finding is that the partition function of multifractal geometry includes the signature of non-Euclidean metric. Our results also suggest that multifractal geometry may offer insights into the non-renormalizable interactions presumed to develop beyond the Standard Model scale.
Keywords
deterministic chaos; multifractals; effective field theory; Lyapunov exponents; Renormalization Group; selfsimilarity
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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