pith. machine review for the scientific record. sign in

arxiv: hep-ph/0109115 · v1 · submitted 2001-09-13 · ✦ hep-ph

Recognition: unknown

Nonlinear Gluon Evolution in the Color Glass Condensate: II

Authors on Pith no claims yet
classification ✦ hep-ph
keywords equationcolorevolutionfieldglassrapiditybalitskybegun
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

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

  1. Forward trijet production in proton-nucleus collisions: gluon initiated channel

    hep-ph 2026-04 unverdicted novelty 7.0

    The gluon-initiated trijet channel in forward pA collisions is calculated at leading order in CGC, revealing a four-gluon vertex structure matching instantaneous terms and showing how rapidity and collinear divergence...

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

    hep-ph 2026-03 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.

  3. Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions

    hep-ph 2026-05 unverdicted novelty 5.0

    Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.

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

    hep-ph 2026-04 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.