group-theoretic approach to renormalization

The group-theoretic approach to renormalization views the process as a mathematical symmetry transformation on physical theories. It treats how parameters, like charges or masses, change with energy scales as part of a structured "group" of operations. These transformations follow specific rules, ensuring the theory remains consistent across different scales. This perspective helps organize and understand the way theories evolve, identify fundamental invariants, and simplifies calculations by highlighting underlying symmetries. Essentially, it uses concepts from abstract algebra to provide a unified, elegant framework for managing how physical descriptions change when viewed at different energy levels.