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From target to projectile and back again: selfduality of high energy evolution

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arxiv hep-ph/0502119 v2 pith:FGX23AX3 submitted 2005-02-13 hep-ph hep-th

From target to projectile and back again: selfduality of high energy evolution

classification hep-ph hep-th
keywords densityhighkernelcompleteenergyevolutiontransformationback
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove that the complete kernel for the high energy evolution in QCD must be selfdual. The relevant duality transformation is formulated in precise mathematical terms and is shown to transform the charge density into the functional derivative with respect to the single-gluon scattering matrix. This transformation interchanges the high and the low density regimes. We demostrate that the original JIMWLK kernel, valid at large density is indeed dual to the low denisity limit of the complete kernel derived recently in hep-ph/0501198.

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Cited by 2 Pith papers

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

  1. Running coupling effects in the anti-collinear resummation in high energy evolution

    hep-ph 2026-07 conditional novelty 6.0

    Running coupling plus anti-collinear resummation in BFKL/JIMWLK slows evolution and cuts the anti-collinear Pomeron intercept, while χ(γ=1) is protected by a cancellation between kernel and DGLAP running.

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

    hep-ph 2025-12 conditional novelty 5.0

    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.