Ervin Goldfain. Multifractal Foundation of Effective Field Theory

Natural Sciences / Astronomy / Quantum Field Theory

Submitted on: Feb 24, 2019, 13:31:06

Description: It was recently shown that, regardless of initial conditions and in the long-run, multi-variable Renormalization Group flows evolving outside equilibrium are prone to settle to 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�E�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 bosons and the Higgs scalar from fermions stems from breaking 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.

The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.

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Multifractal Foundation of Effective Field Theory.pdf