  We re-examine the quantization of a class of non-polynomial scalar field
theories which interpolates continuously from a free one to $\phi^4$ theory.
The quantization of such theories is problematic because the Feynman rules may
not be directly obtained. We give a means for calculating the correlation
functions in this theory. The Feynman rules developed here shall enable further
progress in the understanding of the triviality of $\phi^4$ theory in four
dimensions.
