Abstract

It is pointed out that the Poisson equation governing the four-position x in a continuous medium, which is a generalization of the Feynman graph, corresponds to one of the Landau equations for the graph: The solution of the equation with a given boundary condition is inserted into the action integrand of the Feynman integral to give Koba and Nielsen's ker­ nels in the generalized Veneziano representation. It is also shown that we can get the same results if we work consistently with the four-positions x* of a dual of the original Feynman graph, the four-position x* also satisfying the Laplace equation inside the medium. If x is regarded as a potential, the function x* is as a stream function.

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