Submitted:
30 November 2020
Posted:
01 December 2020
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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
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