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arXiv · 0912.1762

Extended Geometric Scaling from Generalized Traveling Waves

Robi Peschanski
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Abstract

We define a mapping of the QCD Balitsky-Kovchegov equation in the diffusive approximation with noise and a generalized coupling allowing a common treatment of the fixed and running QCD couplings. It corresponds to the extension of the stochastic Fisher and Kolmogorov-Petrovsky-Piscounov equation to the radial wave propagation in a medium with negative-gradient absorption responsible for anomalous diffusion,non-integer dimension and damped noise fluctuations. We obtain its analytic traveling wave solutions with a new scaling curve and in particular for running coupling a new scaling variable allowing to extend the range and validity of the geometric-scaling QCD prediction beyond the previously known domain.

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Robi Peschanski. 2009-12-14. Extended Geometric Scaling from Generalized Traveling Waves. https://doi.org/10.1103/physrevd.81.054014

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