Critical Exponents from RG

This lecture covers the concepts of Conformal Field Theory (CFT) and gravity, including phase transitions, critical exponents, Pontryagin laws, fluctuations, and Renormalization Group (RG). It delves into the formalism of CFT and gravity, discussing critical points, fixed points, and left invariance under RG. The lecture also explores reduced Hamiltonians, correlations, and the Ising model, emphasizing decimation and scaling variables. It concludes with a detailed analysis of critical exponents derived from RG, focusing on their invariance and the scaling region. The lecture provides insights into the relevance of eigenvalues, the behavior of U under scaling, and the significance of fixed points in the context of critical surfaces.