Correpondence between the one-loop three-point vertex and the Y- and $\Delta$- electric resistor networks

@article{Suzuki2011CorrepondenceBT,
  title={Correpondence between the one-loop three-point vertex and the Y- and \$\Delta\$- electric resistor networks},
  author={Alfredo Takashi Suzuki},
  journal={Canadian Journal of Physics},
  year={2011},
  volume={92},
  pages={131-135}
}
  • A. Suzuki
  • Published 6 December 2011
  • Mathematics
  • Canadian Journal of Physics
Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent (LI) hypergeometric functions of... 
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References

SHOWING 1-9 OF 9 REFERENCES

Application of linear network analysis to Feynman diagrams

An analogy between a linear passive electrical network and a Feynman diagram is pointed out. The power dissipated in the network is closely related to the denominator of the Feynman matrix element,…

PROPERTIES OF NORMAL THRESHOLDS IN PERTURBATION THEORY

Making use of the relation between a Feynman diagram and the corresponding electric circuit, several properties of the normal thresholds are established. (auth)

Massless and massive one-loop three-point functions in negative dimensional approach

Abstract. In this article we present the complete massless and massive one-loop triangle diagram results using the negative dimensional integration method (NDIM). We consider the following cases:…

Negative dimensional integrals. I. Feynman graphs

Static and Dynamic Electricity

FOR some time there has been a crying need for a standard text-book on electromagnetic theory, which should give a concise summary of its fundamental principles, and should illustrate them by…

Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite

fonction de plusieurs variables # fonction hypergeometrique # fonction hyperpherique # hyperfonction # polynome d'Hermite

An introduction to linear network analysis

Of course, we can take either two of those as independent ones, such that the dependent current can be expressed also as either q = p + r or p = q − r

    Vestnik MGU 28, (1987) 8. Cited by V.A.Smirnov in his book "Renormalization and Asymptotic Expansions

    • 1991