Intuitive method for constructing effective field theories

TL;DR

This paper introduces a new, intuitive method for constructing effective field theories by integrating out heavy scales directly from the path integral, aligning closely with traditional approaches like the 1PI effective action.

Contribution

The paper presents a novel, physically intuitive method for effective field theory construction that simplifies the process and demonstrates its equivalence to existing matching procedures.

Findings

Method closely resembles 1PI effective action construction

Proves equivalence to standard Green's function matching

Provides a detailed recipe for practical implementation

Abstract

We derive a novel method for constructing effective field theories. Physically, the method is very close to the intuition behind effective field theories: One can integrate out the heavier scale directly from the path integral. We give a detailed recipe for the effective field theory construction, which is nearly identical to the construction of the so-called 1PI effective action. We also demonstrate the equivalence of the novel method to the commonly used procedure of matching Green's functions.