Construction of simple approximants for the structure factor and magnetization for the simple cubic Ising model

A renormalization group method is used to construct approximants for the magnetization,m, and the static structure factor,(q), for the simple cubic Ising model. Using the best values for the thermal critical index, the transition temperature, and the nearest-neighbor correlation function as input, we obtain recursion relations form and(q) which lead to reasonable results over a wide range of temperatures and wave numbers.