Green's Function Approximation Method. I. The Nucleon

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Abstract
A method for the approximate construction of the nucleon Green's function is presented. The development is such that the approximate Green's function automatically has the same analytical properties as the exact one. This method involves the symmetrical treatment of the Green's function and, ultimately, the assumption that certain particles behave in an uncorrelated manner. The approximation results in a linear integral equation for the Green's function which is completely renormalized. This equation is solved exactly through the use of the spectral representation which, by construction, is consistent with the approximation.

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