On the Altarelli-Parisi Integro-Differential Equations

李建二(Chien-Er Lee)；楊友偉(Yeou-Wei Yang)；田聰(Tien Cheng)

Chinese Journal of Physics

19卷1期（1981 / 05 / 01）

1 - 8

英文

The mechanisms involved in the Altarelli-Parisi integro-differential equations are clearly exhibited. New expressions for the Altarelli-Parisi transition probabilities are obtained. All the logrithmic exponents are then reproduced naturally without any regularization. The number of valence quarks and the proton's momentum are automatically comserved. The conditions for probability conservation are also discussed in detail, which restrict the choice of regularisation of Altarelli and Parisi.