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Nonlinear Gluon Evolution in the Color Glass Condensate: II

10 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We complete the construction of the renormalization group equation (RGE) for the Color Glass Condenstate begun in Paper I. This is the equation which governs the evolution with rapidity of the statistical weight function for the color glass field. The coefficients in this equation --- one-loop real and virtual contributions --- are computed explicitly, to all orders in the color glass field. The resulting RGE can be interpreted as the imaginary-time evolution equation, with rapidity as the ``imaginary time'', for a quantum field theory in two spatial dimensions. In the weak field limit it reduces to the BFKL equation. In the general non-linear case, it is equivalent to an equation by Weigert which summarizes in functional form the evolution equations for Wilson line operators previously derived by Balitsky and Kovchegov.

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representative citing papers

Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering

hep-ph · 2026-03-24 · unverdicted · novelty 7.0

Sub-eikonal corrections to dipole structure functions F_L, F_T and the g1-related asymmetry are derived in a gauge-invariant dipole operator basis, with F_L shown to be finite and the others logarithmically divergent.

Emergent Local Phase-Space Scaling in Small-x Gluon Evolution

hep-ph · 2026-06-30 · unverdicted · novelty 6.0

After Q_s-adaptive coarse graining, conditional gluon Husimi momentum distributions from fixed-coupling SO(3)-BK evolution collapse as functions of k/Q_s(Y,b), with conditional entropy growing at unit slope versus ⟨ln Q_s²⟩.

Quark Reggeization in QCD from the Wilson line formalism

hep-ph · 2026-06-24 · unverdicted · novelty 6.0

Derives Reggeized quark operator from Wilson lines and its nonlinear rapidity RG evolution in QCD, recovering known Regge trajectories in dilute and large-Nc limits after signature projection.

On the Two $R$-Factors in the Small-$x$ Shockwave Formalism

hep-ph · 2026-04-27 · unverdicted · novelty 5.0

Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.

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