Summary
Using the finite-contour method we derive the Adler-Weisberger relation in the form
whereC N is a circle of radiusN in the complexν-plane. A similar technique yields a sum rule from the charge-current divergence commutator. The sum rules are evaluated by means of Regge models with «unconventional» asymptotic behaviour. Models with weak nonabsorptive cuts are not favoured.
Riassunto
Facendo uso del metodo del contorno finito si deduce la relazione di Adler-Weisberger nella forma
in cuiC N è un circolo di raggioN nel pianov complesso. Una tecnica simile dà una regola di somma dal commutatore della divergenza carica-corrente. Si valutano le regole di somma per mezzo di modelli di Regge con comportamento asintotico non convenzionale. I modelli con tagli deboli non assorbenti non sono favoriti.
Реэюме
Испольэуя метод конечного контура, мы выводим соотнощение Адлера-Вейсбергера в форме
гдеC N представляет радиус кругаN в комплекснойν плоскости. Аналогичная техника дает правило сумм иэ коммутатора дивергенции эаряженного тока. Эти правила сумм вычисляются с помошью модели Редже с «нестандартным» асимптотическим поведением. Модели со слабыми неабсорбционными раэреэами не являются предпочтительными.
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Ellis, J., Weisz, P.H. Finite-energy current algebra sum rules. Nuov Cim A 4, 873–882 (1971). https://doi.org/10.1007/BF02731524
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DOI: https://doi.org/10.1007/BF02731524