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Renormalization Group Flow
Linked via "relevant perturbations"
Non-Trivial Fixed Point (IR Fixed Point): These points, where $\mathbf{g}^* \neq \mathbf{0}$, correspond to genuine, interacting critical theories. Systems evolving towards such a point exhibit universal behavior characterized by critical exponents [5].
The eigenvalues of the stability matrix $M{ij} = \partial \betai / \partial gj \vert{\mathbf{g}^*}$ near a fixed point classify the infrared stability. Positive eigenvalues indicate [relevant perturbations](/entries/relevant-perturbation…