TL;DR
This paper provides an accessible introduction to perturbative renormalization and the renormalization group, clarifying their fundamental concepts and linking them to real-world phenomena in physics.
Contribution
It offers a theory-agnostic explanation of renormalization, distinguishing universal aspects from field-specific details, suitable for readers without prior field theory knowledge.
Findings
Clarifies the core ideas of renormalization and renormalization group.
Connects theoretical concepts to practical phenomena in physics.
Provides a clear, accessible overview for newcomers to the topic.
Abstract
An elementary introduction to perturbative renormalization and renormalization group is presented. No prior knowledge of field theory is necessary because we do not refer to a particular physical theory. We are thus able to disentangle what is specific to field theory and what is intrinsic to renormalization. We link the general arguments and results to real phenomena encountered in particle physics and statistical mechanics.
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