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Feynman diagrams without feynman parameters

Диаграммы Фейнмана беэ параметров Фейнмана

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Il Nuovo Cimento A (1965-1970)

Summary

Dimensionally regularized Feynman diagrams are represented by means of products ofk-functions. The infinite part of these diagrams is found very easily, also if they are overlapping, and the separation of the several kinds of divergences comes out quite naturally. Ward identities are proven in a transparent way. Series expansions in terms of the external momenta and their inner products are possible.

Riassunto

Si rappresentano diagrammi di Feynaman regolarizzati dimensionalmente per mezzo di prodotti di funzionik. La parte infinita di questi diagrammi si trova molto facilmente, anche se sono sovrapposti, e la separazione di diversi tipi di divergenze risulta abbastanza naturalmente. Si provano le identità di Ward in maniera chiara. Sviluppi in serie in termini degli impulsi esterni e dei loro prodotti interni sono possibili.

Реэюме

Регуляриэованные фейнмановские диаграммы представляются в виде проиэведенийk-функций. Очень легко определяется бесконечная часть зтих диаграмм. Естественным обраэом проводится раэделение раэличных типов расхо-димостей. Докаэываются тождества Уорда. Окаэываются воэможными раэложения в ряды по внещним импульсам и их проиэведениям.

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References

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Authors and Affiliations

  1. Oostelijk Halfrond 24, Amstelveen, Netherlands

    E. Mendels

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  1. E. Mendels
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Mendels, E. Feynman diagrams without feynman parameters. Nuov Cim A 45, 87–122 (1978). https://doi.org/10.1007/BF02729917

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  • DOI: https://doi.org/10.1007/BF02729917

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