Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
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abstract
We consider a very large ultra-relativistic nucleus. Assuming a simple model of the nucleus and weak coupling we find a classical solution for the gluon field of the nucleus and construct the two-dimensional color charge density for McLerran-Venugopalan model out of it. We prove that the density of states distribution, as a function of color charge density, is Gaussian, confirming the assumption made by McLerran and Venugopalan.
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Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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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Unpolarized GPDs at small $x$ and non-zero skewness
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.