Wilsonian Renormalization Group theory posits that a Quantum Field Theory is defined by integrating out high-energy modes to determine how coupling constants flow under changes in the energy cutoff scale $\Lambda$. This mechanism relies on dimensional analysis to classify operators as relevant, marginal, or irrelevant based on their mass dimension relative to spacetime dimensions $D$, determining whether interactions dominate at low energies. The theory asserts that low-energy physics is universal and independent of specific high-energy details because irrelevant parameters are exponentially suppressed, while only a finite number of relevant and marginal couplings govern the infrared behavior of physical observables.
Wilsonian Renormalization Group theory posits that a Quantum Field Theory is defined by integrating out high-energy modes to determine how coupling constants flow under changes in the energy cutoff s…