To find a solution for Φ Φ ( R → → , N ) , one usually employs a Laplace transform and considers a correlation function similar to the statistic average ⟨ A ( R → → n , R → → m ) ⟩ formerly described, with the green function substituted by a fluctuating complex field. In the common limit of large polymers (N>>1), the solutions for the end to end vector distribution correspond to the well developed regime studied in the quantum field theoretic approach to critical phenomena in many body systems.