Approach to Scaling in Renormalized Perturbation Theory

Abstract

The consequences of the large magnitude of the bare coupling constant in Wilson's theory of critical phenomena are examined for renormalized field theory in $4-\epsilon$ dimensions. The scaling behavior of the correlation functions, the relations among critical exponents, and the existence of a scaling equation of state, regular in the temperature around $T_c$, are then obtained in this framework. Some corrections to the scaling laws are also discussed and are shown to be dependent on another exponent.