Communications in Mathematical Physics

, Volume 67, Issue 3, pp 187–197 | Cite as

Circuit based graphs for renormalized perturbation theory

  • Richard R. Hampton


A generalization of graph theory is introduced and used to obtain Feynman parametric formulas relevant to renormalized amplitudes. The generalization of graph theory is based upon circuit coefficients instead of the usual incidence matrix. The parametric formulas presented are valid for amplitudes which have been renormalized, as in the Zimmermann formulation, by subtracting Taylor terms in momentum space.


Neural Network Statistical Physic Complex System Graph Theory Perturbation Theory 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Richard R. Hampton
    • 1
  1. 1.St. Thomas Aquinas CollegeSparkillUSA

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