Abstract
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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Küster, J., Münster, G. Tadpole summation by Dyson-Schwinger equations. Z Phys C - Particles and Fields 73, 551–555 (1997). https://doi.org/10.1007/s002880050346
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DOI: https://doi.org/10.1007/s002880050346