Brydges D., Dimock J., Hurd T.
A non-Gaussian fixed point for $\phi^4$ in $4-\ep$ dimensions - I
(118K, LaTeX)

ABSTRACT.  We consider the $\f ^4$ quantum field theory in four dimensions.
The Gaussian part of the measure is modified to simulate $4-\ep$
dimensions where $\ep$ is small and positive.  We give a renormalization group
analysis for the infrared behavior of the resulting model.
We find that the Gaussian fixed point is  unstable but that there is 
a hyperbolic non-Gaussian fixed point a distance $\cO(\ep)$ away. In a
neighborhood of this fixed point we construct the stable manifold.