Renormalization group equations as 'decoupling' theorems

TL;DR

This paper presents a straightforward derivation of renormalization group and Callan-Symanzik equations, framing them as decoupling theorems that clarify the structure of effective field theories.

Contribution

It introduces a novel perspective by deriving these equations as decoupling theorems, simplifying their conceptual understanding in effective field theories.

Findings

Renormalization group equations can be derived as decoupling theorems.

Callan-Symanzik equations are also interpretable as decoupling theorems.

Provides a unified framework for understanding effective field theories.

Abstract

We propose a simple derivation of renormalization group equations and Callan-Symanzik equations as decoupling theorems of the structures underlying effective field theories.