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A solution of the DGLAP equation for gluon at low x
Authors:DK Choudhury  PK Sahariah
Institution:(1) Department of Physics, Gauhati University, 781 014 Guwahati, India;(2) Department of Physics, Cotton College, 781 001 Guwahati, India
Abstract:We obtain a solution of the DGLAP equation for the gluon at low x first by expanding the gluon in a Taylor series and then using the method of characteristics. We test its validity by comparing it with that of Glück, Reya and Vogt. The convergence criteria of the approximation used are also discussed. We also calculate εF 2(x,Q)2/ε In Q 2 using its approximate relations with the gluon distribution at low x. The predictions are then compared with the HERA data.
Keywords:DGLAP equation for gluon  method of characteristics  scaling violation of F          2
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