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.

• Received 13 April 1973

DOI:https://doi.org/10.1103/PhysRevD.8.2418