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.
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Nonlinear Gluon Evolution in the Color Glass Condensate: I
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abstract
We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which represents the color charge density of the partons with large $x$. In the saturation regime of interest, the coefficients of this equation must be known to all orders in the source strength. In this first paper of a series of two, we carefully derive the evolution equation, via a matching between classical and quantum correlations, and set up the framework for the exact background source calculation of its coefficients. We address and clarify many of the subtleties and ambiguities which have plagued past attempts at an explicit construction of this equation. We also introduce the physical interpretation of the saturation regime at small $x$ as a Color Glass Condensate. In the second paper we shall evaluate the expressions derived here, and compare them to known results in various limits.
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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|}.
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JIMWLK evolution gives larger incoherent diffraction cross sections than the Gaussian approximation for photon-nucleus collisions because the latter is invalid for four-gluon starting correlators.
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 divergences feed into JIMWLK evolution and PDF/FF kernels.
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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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.
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.
Predictions for vector meson production in light-nucleus UPCs show t-differential observables sensitive to nuclear structure models and saturation suppression that grows with nuclear mass and collision energy.
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Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering
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.
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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|}.
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Squeezed-state radiation in shockwave scattering: QCD-Gravity double copy
The n-particle gluon radiation spectrum in shockwave scattering is a generalized Susskind-Glogower squeezed coherent state, and multi-graviton radiation follows similarly via double copy, with feasible large squeezing parameters ~ln(n_bar) leading to enhanced quantum noise in gravitational wave sp
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When JIMWLK evolution really matters: the example of incoherent diffraction
JIMWLK evolution gives larger incoherent diffraction cross sections than the Gaussian approximation for photon-nucleus collisions because the latter is invalid for four-gluon starting correlators.
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Forward trijet production in proton-nucleus collisions: gluon initiated channel
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 divergences feed into JIMWLK evolution and PDF/FF kernels.
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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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Kinetic and canonical momentum broadening in the Glasma
Derives gauge-invariant equations of motion for kinetic and canonical momentum of particles in a classical non-Abelian background, finding that transverse fields contribute to kinetic momentum broadening even in the eikonal limit, and shows that an initial transverse Coulomb gauge reduces numerical
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Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions
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.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
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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Nuclear structure and saturation effects from diffractive vector meson production
Predictions for vector meson production in light-nucleus UPCs show t-differential observables sensitive to nuclear structure models and saturation suppression that grows with nuclear mass and collision energy.
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