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Light-cone physics and duality

Фиэика на световом конусе и дуальность

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Il Nuovo Cimento A (1965-1970)

Summary

In this paper we make an attempt to grasp some features of hadron physics in terms of light-cone properties. Hadrons are considered, in the light-cone asymptotism, as aggregates of free massless quarks, aligned on the same direction (collinearity). The hadron states are classified by a representation of anO 2.1 algebra, constructed from the generators of the conformal group. Deep inelastic structure functions are evaluated and discussed. Analogies between duality and light-cone physics are stressed.

Riassunto

In questo lavoro tentiamo di capire alcuni aspetti della fisica degli adroni in termini di proprietà del cono di luce. Gli adroni sono considerati, nell’asintotismo del cono di luce, come aggregati di « quark » liberi di massa zero, allineati nella stessa direzione (collinearità). Gli stati adronici sono classificati mediante una rappresentazione dell’algebra diO 2,1, costruita a partire dai generatori del gruppo conforme. Si calcolano e si discutono le funzioni di struttura che appaiono nella diffusione altamente inelastica. Si sottolineano analogie fra la dualità e la fisica del cono di luce.

Реэюме

В зтой работе мы делаем попытку понять некоторые особенности фиэики адронов череэ свойства на световом конусе. В асимптотике на световом конусе адроны рассматриваются, как совокупности свободных кварков с нулевыми массами, расположенными вдоль одного направления. Адронные состояния классифицируются, как представленияO 2,1 алгебры, обраэованной иэ генераторов конформной группы. Вычисляются и обсуждаются глубоко неупругие структурные функции. Подчеркиваются аналогии между дуальностью и фиэикой на световом конусе.

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References

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This work was supported in part through funds provided by the Atomic Energy Commission under Contract AT(11-1)-3069.

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Del Giudice, E., Di Vecchia, P., Fubini, S. et al. Light-cone physics and duality. Nuov Cim A 12, 813–862 (1972). https://doi.org/10.1007/BF02747853

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