Phys. Rev. D 18, 1939–1949 (1978)Number and weights of Feynman diagramsReceived 19 June 1978; published in the issue dated 15 September 1978 The functional techniques of field theory are adapted to the problem of evaluating sums of combinatoric and group-theoretic weights of Feynman diagrams in φN, quantum electrodynamics and non-Abelian theories. Considered are various classes of diagrams such as connected, one-particle-irreducible, and skeleton diagrams. For finite orders exact sums are given by compact recursion formulas. For higher orders estimates are obtained from the exact results or by steepest-descent methods. © 1978 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.18.1939
DOI:
10.1103/PhysRevD.18.1939
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