Analytic and semi-analytic solution of the coupled DGLAP equations at small x by the method of characteristics
نویسندگان
چکیده
Coupled DGLAP equations involving singlet quark and gluon distributions are explored by a Taylor expansion at small x as two first order partial differential equations in two variables : Bjorken x and t (t = log 2 Λ ).The system of equations are then reduced to canonical form and the resultant equations are solved by the method of characteristics.Analytic and semi-analytic solutions thus obtained are compared with the exact results and the range of validity obtained. PACS Nos: 12.38.-t;12.38.B x;13.60.-r;13.60.Hb
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