renormalization group

The renormalization group is a conceptual framework used in physics and mathematics to study how physical systems change when viewed at different scales. Imagine zooming in and out on a picture: as you change your perspective, you notice different details and patterns. In similar fashion, renormalization helps us understand how certain properties of a system remain constant or transform when the system's size or energy scale changes. It’s particularly important in fields like quantum field theory and statistical mechanics, helping to simplify complex interactions and allowing scientists to make accurate predictions about behavior in diverse systems.