Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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 (doi: 10.20944/preprints202012.0012.v1). Goldfain, E. On the Role of Self-similarity in the Dynamics of Effective Field Theory. Preprints 2020, 2020120012 (doi: 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.

Subject Areas

Self-similarity; fractal geometry; generalized homogeneous functions; general covariance; Self -organized criticality; Lie groups; effective field theory

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