Renormalization group theory in physics and general science

Abstract

Renormalization group (RG) theory, while proposed to study particle physics, has found its usage in a large variety of topics over the years, including other physics branches like solid state physics, fluid mechanics, cosmology, machine learning and even non-physics fields like biology, epidemiology, economics, psychology, sociology and so on. The omnipresence of renormalization group theory thus raises the philosophical question of what are the common features of the systems that enable the employment of RG theory and what can be revealed by using the RG method, why renormalization group theory is the naturally approach to deal with these problems and what is the essential point that leads to organizing the system according to renormalization group flow, i.e., order and disorder. These question are addressed in this paper.

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