High Energy Particle Physics

   

Multifractal Foundation of Effective Field Theory

Authors: Ervin Goldfain

It was recently shown that, regardless of initial conditions, the long-run of multi-variable Renormalization Group flows is prone to end up on strange attractors. In this context, multifractals (MF) become suitable means for the characterization of effective field theories, in particular the Standard Model of particle physics (SM). It is known that typical MF’s are studied using concepts such as singularity spectrum and Rényi entropy. Exploiting the definition of canonical mass dimension, here we show that the separation of gauge and the Higgs bosons from fermions stems from the underlying geometry of the singularity spectrum. Our analysis supports the view that, near the electroweak scale, SM emerges as topological condensate of multifractal dimensions and that Dark Matter is a manifestation of Cantor Dust.

Comments: 3 Pages. First draft, abstract and plan of work only.

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Submission history

[v1] 2019-02-24 16:54:07

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