Crossed Graphs in the Feinberg-Pais Theory of Weak Interactions

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Abstract
A possible damping mechanism is suggested to prevent the occurrence of essential singularities, such as that found on the light cone by Bardakci, Bolsterli, and Suura, when finite order expansions of the irreducible Bethe-Salpeter amplitude are iterated in configuration space without prior regularization. An infinite number of irreducible Feynman graphs are considered and approximated by a "peratization" method; a simple example is found in which the light cone damping, obtained by Feinberg and Pais by summing over the regularized ladder graphs, is reproduced by this crossed graph method.

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