A definition of local emergence based on the minimal model in the renormalization group method

Abstract

    Emergence in physics has been defined in several manners, but these definitions face some challenges. The aim of this paper is to propose a new definition of emergence as a relationship between models and overcome these problems. For this purpose, I will focus on the case of the renormalization group (RG) method, because the RG method has been considered as an instance of emergence in physics and the features of models in the RG method are revealed through the notion of minimal model. In order to highlight the key feature of the minimal model, the notion of a generalized model is introduced. The definition of emergence will be proposed by comparing the minimal model with the generalized model.