Introduction to Effective Field Theory

TL;DR

This paper reviews Effective Field Theory techniques, explaining their theoretical framework, practical power-counting methods, and applications to Quantum Electrodynamics, highlighting their role in managing scale hierarchies in physics.

Contribution

It provides a comprehensive overview of Effective Field Theory, including explicit evaluations and applications to QED, which enhances understanding of scale separation in physical problems.

Findings

Effective Field Theory effectively manages scale hierarchies.

Power-counting techniques are illustrated for practical cases.

Applications to QED demonstrate the framework's utility.

Abstract

This review summarizes Effective Field Theory techniques, which are the modern theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and explicitly evaluated for a simple model. Power-counting results are illustrated for a few cases of practical interest, and several applications to Quantum Electrodynamics are described.