Summary
Guided by the rather suggestive form of the lepton-nucleon structure functions in the parton model we give a generalization of the parton approach to scaling in which the structure functions are statistically averaged temperature-dependent Green's functions of currents. We show that the observed scaling of the structure functions is related to and determined by properties of the hadronic mass spectrum in much the same way as scaling in many-body systems generally is related to the properties of these systems in the region of their critical points.
Riassunto
La forma piuttosto suggestiva delle funzioni di struttura leptone-nucleone nel modello a partoni induce a dare una generalizzazione dell'approccio per mezzo dei partoni al cambiamento di scala, in cui le funzioni di struttura sono funzioni di Green delle correnti, dipendenti dalla temperatura, mediate statisticamente. Si dimostra che il cambiamento di scala delle funzioni di struttura è in relazione con le proprietà dello spettro di massa degli adroni e determinato da esse quasi nello stesso modo in cui il cambiamento di scala nei sistemi di molti corpi è generalmente in relazione con le proprietà di questi sistemi nella regione dei loro punti critici.
Резюме
Руководствуясь довольно многообещающей формой лептон-нуклонных структурных функций в модели партона, мы проводим обобщение подхода партона на подобие, в котором структурные функции представляют статистически усредненные, зависящие от температуры гриновские функции токов. Мы показываем, что наблюденное подобие структурных функций связано и определяется свойствами адронного массового спектра таким же образом, как подобие в много-частичных системах, в основном, связано со свойствами εтих систем в области их критических точек.
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Etim, E. Green's functions of currents and scaling of lepton-nucleon inelastic structure functions. Nuov Cim A 10, 689–702 (1972). https://doi.org/10.1007/BF02899769
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DOI: https://doi.org/10.1007/BF02899769