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Relativistic eikonal amplitude and radiative corrections

Релятивистская амплитуда в приближении зйконала и радиационные поправки

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Il Nuovo Cimento A (1965-1970)

Summary

A relativistic eikonal amplitude for the generalized ladder diagrams with radiative corrections to all orders is derived. The connection between this approach and the graphical analysis of infra-red divergence in quantum eleetrodynamics is explicitly exhibited. The discrepancy between the Lévy-Sucher formula and that of Schiff is resolved. Inclusion of radiative corrections due to nonsoft mesons at the vertices of a hard interaction is investigated, and the difference with results obtained by other authors is noted.

Riassunto

Si deduce un’ampiezza iconale relativistica per i diagrammi a scala generalizzati con correzioni radiative di tutti gli ordini. Si mostra esplicitamente la connessione fra questo approccio e l’analisi grafica delle divergenze infrarosse nell’elettrodinamica quantistica. Si risolve la discrepanza fra la formula di Lévy-Sucher e quella di Schiff. Si studia l’inclusione delle correzioni radiative dovute a mesoni non molli ai vertici delle interazioni dure e si nota la differenza con i risultati ottenuti da altri autori.

Реэюме

Выводится релятивистская амплитуда в приближении зйконала для обобшенных лестничных диаграмм с радиационными поправками ко всем порядка. Явно покаэывается свяэь между зтим подходом и графическим аналиэом инфракрасной расходимости в квантовой злектродинамике. Аналиэируется расхождение между формулой Леви-Щукера и формулой Щиффа. Исследуется включение радиационных поправок, обусловленных немягкими меэонами в верщинах « жесткого » вэаимодействия. Отмечается раэличие между реэультатами, полученными другими авторами.

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  1. Physics Department, University of Connecticut, Storrs, Conn

    M. M. Islam

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Islam, M.M. Relativistic eikonal amplitude and radiative corrections. Nuov Cim A 5, 315–344 (1971). https://doi.org/10.1007/BF02723607

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