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The Renormalization Group Equation for the Color Glass Condensate

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

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abstract

We present an explicit and simple form of the renormalization group equation which governs the quantum evolution of the effective theory for the Color Glass Condensate (CGC). This is a functional Fokker-Planck equation for the probability density of the color field which describes the CGC in the covariant gauge. It is equivalent to the Euclidean time evolution equation for a second quantized current-current Hamiltonian in two spatial dimensions. The quantum corrections are included in the leading log approximation, but the equation is fully non-linear with respect to the generally strong background field. In the weak field limit, it reduces to the BFKL equation, while in the general non-linear case it generates the evolution equations for Wilson-line operators previously derived by Balitsky and Kovchegov within perturbative QCD.

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2026 9 2025 1

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representative citing papers

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.

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