Springer Online Journal Archives 1860-2000
Abstract We reduce the counting problem for the vacuum diagrams of a φ4 theory to a moment problem. As a consequence we are able to give the generating function for the counting of diagrams on a torus with one hole, besides the known result for planar diagrams. The method can be extended to φ n theory and also to the counting of diagrams on a torus with an arbitrary number of holes.
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