RGfactorization

RGfactorization refers to a factorization technique used in quantum field theory, specifically within the context of renormalization group flows. It's a method for disentangling different scales or energy regimes in a quantum field theory. The core idea is to express a theory at a given energy scale in terms of an "effective" theory at a lower energy scale. This effective theory captures the essential physics of the higher energy modes that have been integrated out.

RGfactorization often involves splitting a complicated theory into simpler, more manageable components. One part might represent the physics at high energies or short distances, while the other part describes the physics at low energies or long distances. By performing this factorization, one can often simplify calculations and gain a clearer understanding of how the theory behaves across different scales. This is particularly useful when dealing with theories that exhibit asymptotic freedom or spontaneous symmetry breaking. The process is deeply connected to the concept of the renormalization group, which describes how coupling constants and other parameters of a theory change with energy scale. RGfactorization provides a framework to systematically implement this change.