Gluon Density Function in Leading Order by the Method of Characteristics

Saiful Islam

Abstract: The application of method of characteristics in perturbative quantum chromodynamics (pQCD) is relatively new. In the present paper, we solve Dokshitzer, Gribov, Lipatov, Altarelli, Parisi (DGLAP) equations in Leading Order (LO) by using this method and obtain an analytical form of gluon density function at small-x. Comparison with exact results as well as with data are reported.

Keywords: Gluon density function, method of characteristics, DGLAP equation, small-x physics