Article
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On the Role of Self-similarity in the Dynamics of Effective Field Theory
Version 1
: Received: 30 November 2020 / Approved: 1 December 2020 / Online: 1 December 2020 (10:29:47 CET)
How to cite: Goldfain, E. On the Role of Self-similarity in the Dynamics of Effective Field Theory. Preprints 2020, 2020120012. https://doi.org/10.20944/preprints202012.0012.v1 Goldfain, E. On the Role of Self-similarity in the Dynamics of Effective Field Theory. Preprints 2020, 2020120012. https://doi.org/10.20944/preprints202012.0012.v1
Abstract
The goal of this work is to show that the underlying symmetries of effective field theory can be traced to the onset of self-similarity. In particular, we argue that the scale-free structure of fractal geometry lies at the heart of invariance principles in classical and Quantum Field Theory.
Keywords
Self-similarity; fractal geometry; generalized homogeneous functions; general covariance; Self -organized criticality; Lie groups; effective field theory
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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