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The Veneziano transform and the high-energy behavior of dual-resonance amplitudes

Преобраэование Венециано и поведение дуальных реэонансных амплитуд при высоких знергиях

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Il Nuovo Cimento A (1965-1970)

Summary

The Veneziano beta-function transform technique is generalized to the case in which there are several asymptotic variables. The multiple transform of a dual-tree amplitude is found to be again a dual-tree amplitude apart from a well-defined redefinition of the trajectories. The asymptotic behavior of dual amplitudes is discussed, with particular emphasis on the analytic structure in the complex-angular-momentum like plane.

Riassunto

Si generalizza la tecnica della trasformata della funzione beta di Veneziano al caso in cui vi sono parecchie variabili asintotiche. Si trova che la trasformata multipla di un’ampiezza ad albero duale è ancora un’ampiezza ad albero duale a prescindere da una ben definita ridefinizione delle traiettorie. Si discute il comportamento asintotico delle ampiezze duali, ponendo una particolare enfasi sulla struttura analitica nel piano del tipo del momento angolare complesso.

Реэюме

Техника преобраэований бета-функций Венециано обобшается на случай, в котором имеется несколько асимптотических переменных. Обнаружено, что многократное преобраэование дуальной древовидной амплитуды представляет снова дуальную древовидную амплитуду, не считая отчетливо выраженного уточнения определения траекторий. Обсуждается асимптотическое поведение дуальных амплитуд, причем, особое внимание уделяется аналитической структуре в комплексной плоскости, подобной плоскости момента.

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Authors and Affiliations

  1. National Accelerator Laboratory, Batavia, Ill.

    D. Gordon

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Gordon, D. The Veneziano transform and the high-energy behavior of dual-resonance amplitudes. Nuov Cim A 6, 107–120 (1971). https://doi.org/10.1007/BF02723437

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