Summary
A wave-mechanical description is given of the geometrical properties which underlie the so-called (nonplanar, orientable) one-loop amplitude in dual-resonance models. The description is made in such a way that the amplitude appears as an extension of the conventional Feynman propagator, hence being regarded as a “pomeron” propagator. As an incidental result, the Virasoro condition for one-loop amplitudes is obtained as well as its geometrical implication.
Riassunto
Si fornisce una descrizione meccanico-ondulatoria delle proprietà che stanno alla base della cosiddetta ampiezza (non planare, orientabile) ad un cappio in modelli di risonanze duali. Si effettua la descrizione in modo tale che l'ampiezza appaia come un'estensione del convenzionale propagatore di Feynman, venendo quindi considerata come un propagatore di “pomeroni”. Come risultato causale si ottiene la condizione di Virasoro per ampiezze ad un cappio e si ottiene inoltre la sua implicazione geometrica.
Резюме
Используя волновую механику, дается описание геометрических свойств, которые лежат в основе так называемой (неплоской, ориентируемой) амплитуды с одной петлей в дуальных резонансных моделях. Указанное описание проводится таким образом, что рассматриваемая амплитуда возникает, как продолжение общепринятого фейнмановского пропагатора, следовательно, рассматривается, как пропагатор “померона”. Как побочный результат полуается условие Вирасоро для амплитуд с одной петлей, а также геометрический смысл этого условия.
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References
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Minami, M. Pomeron propagator in position space. Nuov Cim A 19, 13–33 (1974). https://doi.org/10.1007/BF02785441
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DOI: https://doi.org/10.1007/BF02785441