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arXiv · 0712.3124

A solvable model for small-x physics in D > 4 dimensions

Dimitri Colferai
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Abstract

I present a simplified model for the gluon Green's function governing high-energy QCD dynamics, in arbitrary space-time dimensions. The BFKL integral equation (either with or without running coupling) reduces to a second order differential equation that can be solved in terms of Bessel and hypergeometric functions. Explicit expressions for the gluon density and its anomalous dimension are derived in MS and Q_0 factorization schemes. This analysis illustrates the qualitative features of the QCD gluon density in both factorization schemes. In addition, it clarifies the mathematical properties and validates the results of the ``gamma-representation'' method proposed by M.Ciafaloni and myself for extracting resummed next-to-leading-log x anomalous dimensions of phenomenological relevance in the two schemes.

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Dimitri Colferai. 2007-12-19. A solvable model for small-x physics in D > 4 dimensions. https://doi.org/10.1088/1126-6708%2F2008%2F04%2F103

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