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Il Nuovo Cimento A (1965-1970)

, Volume 83, Issue 4, pp 352–360 | Cite as

An integral equation for the continuation of perturbative expansions

  • S. Ciulli
  • T. D. Spearman
Article

Summary

It is shown how a procedure for analytic continuation, based on methods of functional analysis, can be used to extend the results of a perturbative calculation to yield nonperturbative information which could not be obtained directly from a perturbative expansion.

PACS. 02.30

Function theory analysis 

PACS. 11.10

Field theory 

PACS. 03.65

Quantum theory quantum mechanics 

Интегральное уравнение для продолжения пертурбационных разложений

Резюме

Показывается, как процедура аналитического продолжения, основанная на методах функционального анализа, может быть использована для распространения результатов пертурбационных вычислений, чтобы получинть непертурбационную информацию, которая не может быть получена непосредственно из пертурбационного разложения.

Riassunto

Si mostra come una procedura per la continuazione analitica, basata su metodi di analisi funzionale, possa essere usata per estendere i risultati di un calcolo perturbativo per generare l'informazione non perturbativa che non si potrebbe ottenere direttamente da uno sviluppo perturbativo.

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References

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Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • S. Ciulli
    • 1
    • 2
  • T. D. Spearman
    • 2
    • 3
  1. 1.Department de Physique MathématiqueU.S.T.L.MontpellierFrance
  2. 2.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance
  3. 3.School of MathematicsTrinity CollegeDublin 2Ireland

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