On the treatment of divergent integrals in perturbative quantum field theory

TL;DR

This paper discusses how to handle divergent integrals in perturbative quantum field theory using regularization, subtraction, renormalization, and renormalization group techniques.

Contribution

It provides a clear illustration of the concepts involved in regularization and renormalization in PQFT through a simple integral example.

Findings

Clarifies the process of regularization and subtraction in divergent integrals

Demonstrates the application of renormalization group methods in PQFT

Simplifies complex concepts with an illustrative integral example

Abstract

A simple integral that illustrates the concepts of regularization, subtraction, renormalization and renormalization group employed in perturbative quantum field theory(PQFT) is considered.