A non-Gaussian fixed point for phi(4) in 4-epsilon dimensions

We consider the phi(4) quantum field theory in four dimensions. The Gaussia n part of the measure is modified to simulate 4 - epsilon dimensions where epsilon is small and positive. We give a renormalization group analysis for the infrared behavior of the resulting model. We find that the Gaussian fi xed point is unstable but that there is a hyperbolic non-Gaussian fixed poi nt a distance O(epsilon) away. In a neighborhood of this fixed point we con struct the stable manifold.