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- W2057482255 abstract "It is shown that point splitting may be used to regularize arbitrary Feynman amplitudes and Taylor subtraction terms of the type found in the Zimmermann formulation (BPHZ) of renormalized perturbation theory. Point splitting refers to the Fourier transformation of the Feynman integrand with respect to the internal (loop) momenta. It is shown that this has the effect in configuration space of breaking open the circuits of the diagram. The regularization may be removed, interchangeably, before or after the propagator epsilon is taken to zero in the sense of distribution theory. This result is proven elsewhere but is mentioned here for its importance. The result may make the method useful in establishing the unitarity of BPHZ. Two appendices contain a review of circuit-based graph theory and a demonstration that an arbitrary circuit based graph may sometimes have no realization as a graph." @default.
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- W2057482255 date "1980-07-01" @default.
- W2057482255 modified "2023-10-18" @default.
- W2057482255 title "Feynman amplitude circuit breakers" @default.
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- W2057482255 doi "https://doi.org/10.1063/1.524599" @default.
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