Renormalization Group Study of a Critical Lattice Model I. Convergence to the Line of Fixed Points

摘要

We start a nonperturbative study of the Wilson-Kadanoff renormalization group (RG) in weakly coupled massless lattice models. Nonlocal hierarchical models are introduced to mimic the infrared behaviour of the (nabla phi) exp 2 /2 + lambda(nabla phi) exp 4 model and the like. The RG is shown to drive these to the line of fixed points corresponding to the massless csub(infinity)(lambda)(nabla phi) exp 2 /2 models. (Atomindex citation 13:687683)