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Asymptotic behaviour at exceptional momenta

Асимптотическое пов едение при необычных импульсах

  • Published:
Il Nuovo Cimento A (1971-1996)

Summary

We develop a method for investigating the asymptotic behaviour of vertex functions at certain Minkowskian exceptional momenta. It is a direct generalization of earlier treatments of Euclidean exceptional momenta. It makes use of formal expansions in momentum space, closely related to light-cone expansions in position space. Our expansions have to be performed in those channels which carry finite total momentum squared and admit (in A4-theory) two-particle intermediate states.

Riassunto

Si svihippa un metodo di ricerca sull’andamento asintotico delle funzioni di vertice per certi impulsi eccezionali di Minkowski. Esso è una generalizzazione diretta di precedenti trattamenti di impulsi eooezionali euclidei. In esso si fa uso di sviluppi in serie formali nello spazio degli impulsi, strettamente correlati a sviluppi in serie nello spazio delle posizioni. ’Si devono effettuare i nostri sviluppi in serie in quei canali in oui il quadrato dell’impulso totale è flnito e che ammettono (in una teoria A4) stati intermedia due particelle.

Резюме

Мы развиваем метод дл я исследования асимптотического по ведения вершинных функций пр и некоторых необычны х импульсах в пространстве Минко вского. Предложенный метод п редставляет непосре дственное обобщение существую щих рассмотрении эвклид овых необычных импул ьсов. В работе используются формальные разложен ия в импульсном прост ранстве, которые тесно связан ы с разложениями на свет овом конусе в координ атном пространстве. Наши ра зложения следует производить в тех каналах, в которы х передается конечный квадрат полного импульса и которые до пускают (в A4-теории) двух-частичные проме жуточные состояния.

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Author notes

  1. H. J. Thun

    Present address: Institut für Theoretische Physik, Freie Universität Berlin, Berlin, Germany

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  1. Deutsches Elektronensynchrotron, DESY, Hamburg, Germany

    H. J. Thun

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Thun, H.J. Asymptotic behaviour at exceptional momenta. Nuov Cim A 26, 329–359 (1975). https://doi.org/10.1007/BF02900512

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  • DOI: https://doi.org/10.1007/BF02900512

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