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Small-x physics in perturbative QCD

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arxiv hep-ph/9610276 v1 pith:POBPBLOJ submitted 1996-10-07 hep-ph

L. N. Lipatov This is my paper · ORCID
classification hep-ph
keywords pomeronreggeizedbfklcompoundgluonsscatteringactionamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We review the parton model and the Regge approach to the QCD description of the deep-inelastic $ep$ scattering at the small Bjorken variable $x$ and demonstrate their relation with the DGLAP and BFKL evolution equations. It is shown, that in the leading logarithmic approximation the gluon is reggeized and the pomeron is a compound state of two reggeized gluons. The conformal invariance of the BFKL pomeron in the impact parameter space is used to investigate the scattering amplitudes at high energies and fixed momentum transfers. The remarkable properties of the Schr\"odinger equation for compound states of an arbitrary number of reggeized gluons in the multi-colour QCD are reviewed. The gauge-invariant effective action describing the gluon-Reggeon interactions is constructed. The known next-to-leading corrections to the QCD pomeron are discussed.

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Cited by 5 Pith papers

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

  1. Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities

    hep-ph 2025-05 conditional novelty 7.0 of 10

    First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.

  2. 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}.

  3. 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.

  4. 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.

  5. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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