Abstract
Renormalization groups used in diverse fields of theoretical physics are considered. The discussion is based upon functional formulation of group transformations. This attitude enables development of a general method by using the notion of functional self-similarity which generalizes the usual self-similarity connected with power similarity laws. From this point of view we present a simple derivation of the renorm-group (RG) in QFT “liberated” from ultra-violet divergences philosophy, discuss the RG approach in other fields of physics and compare “different” RG’s.
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