Approximation Methods in Many-Body Perturbation Theory

Abstract
An analysis of some approximations common in the treatment of many-body systems indicates that the inclusion of large numbers of uncancelled exclusion-principle-violating (EPV) processes leads to meaningless results. We therefore propose as a criterion for the validity of many-body approximations that there should be no such large-scale inclusion of EPV processes. The graphs generated in the BCS theory are analyzed from this point of view.

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