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The Weizsäcker-Williams Distribution Of Linearly Polarized Gluons (And Its Fluctuations) At Small X, Adrian Dumitru, Vladimir Skokov
The Weizsäcker-Williams Distribution Of Linearly Polarized Gluons (And Its Fluctuations) At Small X, Adrian Dumitru, Vladimir Skokov
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The conventional and linearly polarized Weizsäcker-Williams gluon distributions at small x are defined from the two-point function of the gluon field in light-cone gauge. They appear in the cross section for dijet production in deep inelastic scattering at high energy. We determine these functions in the small-x limit from solutions of the JIMWLK evolution equations and show that they exhibit approximate geometric scaling. Also, we discuss the functional distributions of these WW gluon distributions over the JIMWLK ensemble at rapidity Y ∼ 1/αs. These are determined by a 2d Liouville action for the logarithm of the …