Summary
Light-cone commutators are calculated in the nonperturbative parton model. The results agree with those of Fritzsch and Gell-Mann, and Cornwall and Jackiw. The dynamically dependent terms found by the latter authors are identified and it is argued that they are absent in the softened theory under discussion. It is shown how the commutators lead to the same expressions for the deep inelastic structure functions as were obtained in the model previously by direct calculation.
Riassunto
Si calcolano i commutatori del cono di luce nel modello a partoni non perturbativo. I risultati concordano con quelli di Fritzsch e Gell-Mann e di Cornwall e Jackiw. Si identificano i termini dipendenti dinamicamente trovati da questi ultimi autori e si argomenta che essi sono assenti nella teoria raddolcita che si discute. Si mostra come i commutatori portino alla stessa espressione delle funzioni della struttura anelastica profonda che furono ottenute precedentemente nel modello per mezzo di un calco lo diretto.
Реэюме
В модели партона, не испольэуюшей теории воэмушений, вычисляются коммутаторы на световом конусе. Полученные реэультаты согласуются с реэультатами Фритца и Гелл-Мана и Корнвалла и Якива. Идентифицируются эависяшие от динамики члены, полученные Якивом. Докаэывается, что зти члены отсутствуют в обсуждаемой теории. Покаэывается, как зти коммутаторы приводят к тем же выражениям для глубоко неупругих структурных функций, которые были получены ранее в зтой модели с помошью прямого вычисления.
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This work was begun at the Physics Department of the University of Illinois.
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Polkinghorne, J.C. Light-cone commutators in the nonperturbative parton model. Nuov Cim A 8, 592–602 (1972). https://doi.org/10.1007/BF02722728
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DOI: https://doi.org/10.1007/BF02722728