Bare coupling constant calculation

The calculation of the correlation functions in the field theory is well documented in the literature. For d = 4, the calculation of the various quantities encounter divergence problems (due to the presence of the cut-off A of equation (42) which are removed by the proper renormalizations of the bare mass Eq and the bare coupling constant w. The analogs of the renormalization group equations (such as those of Gellman and Low, tHooft and Veltman, and Callan and Symanzik) which describe the dependence of the correlation functions (and the vertex functions) on arbitrary scale factors can be readily written for the polymer case also. " " A study of the Wilson function, j8( ), which describes the dependence of the renormalized coupling constant g on an... 

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