Renormalization Group Equations

Renormalization Group Equations describe how physical systems change as you look at them at different scales—such as zooming in or out. In particle physics, these equations track how fundamental forces and particle interactions evolve with energy levels, helping us understand behaviors at both large and small distances. They provide a mathematical framework to see how parameters like coupling constants "flow" when the energy scale shifts, revealing unified behaviors or phase transitions. Essentially, they are tools to analyze and predict how the laws of physics adapt when changing the observational perspective or energy scale.