Critical Exponents: Theory and Applications

This lecture delves into the derivation of critical exponents in the context of phase diagrams, focusing on the linearization process and the relationship between couplings and correlation lengths. The instructor explains the importance of eigenvalues and eigenvectors in understanding the behavior near critical points, leading to the definition of the normal dimension of fields. The lecture also covers the transformation of couplings and the role of susceptibility in determining the exponents. By exploring the scaling laws and the behavior of correlation functions, the lecture provides insights into the universality of critical phenomena and the normalization group approach.