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Regge cuts and the eikonal approximation in field theory. - II

Раэреэы Редже и приближение зйконала в теории поля. - II

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Il Nuovo Cimento A (1965-1970)

Summary

We delve further into the mechanisms responsible for obfuscating the true eikonal content of individual Feynman graphs. These complications originate in each case from a class of intermediate states which cancel ultimately upon summation of the relevant criss-crossed sets. All fractions of the eikonal stem fromnonleading behaviour ofnonplanar graphs. Our characterization of intermediate states leads in a natural way to a counting procedure which accounts for all the eikonal contributions of criss-crossed ladder plus Born exchange iterations in φ3 theory.

Riassunto

Si ricerca più a fondo nei meccanismi responsabili dell’offuscamento del vero contenuto iconale dei grafici di Feynman individuali. Queste complicazioni insorgono in ogni caso da una classe di stati intermedi che si annullano alla fine sommando i gruppi incrociati pertinenti. Tutte le frazioni dell’iconale derivano dal comportamentonon principale dei graficinon piani. La nostra caratterizzazione degli stati intermedi porta in modo naturale ad una procedura di conteggio che rende conto di tutti i contributi iconali delle scale incrociate più iterazioni di scambi di Born nella teoriaφ 3.

Реэюме

Мы проводим дополнительные исследования механиэма, ответственного эа эатемнение истинного содержания приближения зйконала для отдельных фейнмановских графиков. Эти усложнения происходят в каждом случае иэ класса промежуточных состояний, которые уничтожаются, в конечном счете, при суммировании соответствуюших перекрестных систем. Все части приближения зйконала происходят иэ неглавного поведения неплоских графиков. Наща характеристика промежуточных состояний приводит естественным обраэом к процедуре счета, которая учитывает все вклады приближения зйконала для перекрестной лестницы плюс борновские обменные итерации в теорииφ 3.

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Authors and Affiliations

  1. Faculté des Sciences, Université Libre de Bruxelles, Bruxelles

    P. Nicoletopoulos & M. A. L. Prevost

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  1. P. Nicoletopoulos
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  2. M. A. L. Prevost
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Nicoletopoulos, P., Prevost, M.A.L. Regge cuts and the eikonal approximation in field theory. - II. Nuov Cim A 5, 357–391 (1971). https://doi.org/10.1007/BF02723461

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