A NonGaussian Fixed Point for φ^{4} in 4∊ Dimensions
Abstract
We consider the φ^{4} quantum field theory in four dimensions. The Gaussian part of the measure is modified to simulate 4∊ dimensions where ∊ 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 nonGaussian fixed point a distance ?(∊) away. In a neighborhood of this fixed point we construct the stable manifold.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 1998
 DOI:
 10.1007/s002200050474
 Bibcode:
 1998CMaPh.198..111B