A non-Gaussian fixed point for φ4 in 4-ε dimensions

We consider the phi(4) quantum field theory in four dimensions. The Gaussian 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 fixed point is unstable but that there is a hyperbolic non-Gaussian fixed point a distance O(epsilon) away. In a neighborhood of this fixed point we construct the stable manifold.