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On differential properties of feynman integrals

О дифференциальных свойствах фейнмановских интегралов

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Il Nuovo Cimento A (1965-1970)

Summary

It is shown how the differential properties of one-loop generalized (with Speer λ-parameters) Feynman integrals free from second-type singularities lead to the complete characterization of the analytic properties of these functions.

Riassunto

Si mostra come le proprietà differenziali degli integrali di Feynman generalizzati (mediante i parametri λ di Speer) corrispondenti a grafi con un solo ciclo e privi di singolarità di secondo tipo permettano di caratterizzare in modo completo le proprietà di analiticità di dette funzioni.

Реэюме

Покаэывается, как дифференциальные свойства обобшенных (с ?-пара-метрами Спира) фейнмановских интегралов с одной петлей, свободных от сингу-лярностей второго рода, полностью характериэуют аналитические свойства выщеупомянутых функций.

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Literatur

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Authors and Affiliations

  1. Istituto di Fisica Matematica dell’Università, Torino

    G. Barucchi

  2. Istituto di Fisica dell’Università, Torino

    G. Barucchi & G. Ponzano

  3. Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Italy

    G. Barucchi & G. Ponzano

Authors
  1. G. Barucchi
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  2. G. Ponzano
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Barucchi, G., Ponzano, G. On differential properties of feynman integrals. Nuov Cim A 23, 733–742 (1974). https://doi.org/10.1007/BF02821988

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  • DOI: https://doi.org/10.1007/BF02821988

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