Tadpole Summation by Dyson-Schwinger Equations

Details Tadpole Summation by Dyson-Schwinger Equations Tadpole Summation by Dyson-Schwinger Equations

1996-03-18

arxiv.org/abs/hep-th/9603145v1

Z.Phys.C73:551-555,1997

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, use LaTeX2e with macro package feynmf

Scientific paper

10.1007/s002880050346

In quantum field theory with three-point and four-point couplings the Feynman diagrams of perturbation theory contain momentum independent subdiagrams, the ``tadpoles'' and ``snails''. With the help of Dyson-Schwinger equations we show how these can be summed up completely by a suitable modification of the mass and coupling parameters. This reduces the number of diagrams significantly. The method is useful for the organisation of perturbative calculations in higher orders.

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