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Algebraic models for the hierarchy structure of evolution equations at small x

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arxiv hep-ph/0503223 v2 pith:WESOC367 submitted 2005-03-23 hep-ph

classification hep-ph
keywords equationsalgebraicdependenceevolutionmodelsamplitudesasymptoticbehavior
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We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Summing large Pomeron loops in the saturation region: dipole-nucleus collision beyond nonlinear equations

    hep-ph 2025-02 conditional novelty 6.0 of 10

    After summing large Pomeron loops, the dipole-nucleus amplitude has the same energy dependence as dipole-dipole scattering, limiting the BK equation to z' below roughly 2 sqrt(kappa c) A^{1/6}.

  2. Dipole-dipole scattering: summing large Pomeron loops in non-linear evolution with leading twist kernel

    hep-ph 2025-12 conditional novelty 5.0 of 10

    In a leading-twist kernel, matching the BK solution to fan-diagram series yields KNO multiplicity distributions and gluon entropy S_E = ln(xG) for dipole-nucleus and dipole-dipole scattering.

  3. Summing large Pomeron loops in the saturation region: nucleus-nucleus collision

    hep-ph 2025-06 conditional novelty 5.0 of 10

    The nucleus-nucleus scattering amplitude deep in the saturation region reduces to the single nucleon-nucleon term and therefore has the same energy dependence as dipole-dipole scattering.

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