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The JIMWLK equation with a "daughter dipole" running coupling is solved numerically starting from an initial condition given by the McLerran-Venugopalan model. The resulting Wilson line configurations are then used to compute the spectrum…

High Energy Physics - Phenomenology · Physics 2011-09-09 T. Lappi

We introduce the notion of the Color Glass Condensate (CGC) density matrix $\hat\rho$. This generalizes the concept of probability density for the distribution of the color charges in the hadronic wave function and is consistent with…

High Energy Physics - Phenomenology · Physics 2019-05-22 Nestor Armesto , Fabio Dominguez , Alex Kovner , Michael Lublinsky , Vladimir Skokov

We explore the effects of including the energy dependence determined from evolution equations within the color glass condensate framework on observables in ultra-relativistic heavy-ion collisions. This amounts to integrating the JIMWLK…

Nuclear Theory · Physics 2025-02-10 Heikki Mäntysaari , Björn Schenke , Chun Shen , Wenbin Zhao

In the high-energy limit of DIS experiments the effective degrees of freedom of QCD are Wilson line operators. Their evolution in the rapidity variable is predicted by the set of Balitsky-JIMWLK evolution equations. We analyze a new class…

High Energy Physics - Phenomenology · Physics 2024-10-22 Piotr Korcyl , Leszek Motyka , Tomasz Stebel

We develop a new approximation scheme aiming at extracting higher-point correlation functions from the JIMWLK evolution, in the limit where the number of colors is large. Namely, we show that by exploiting the structure of the 'virtual'…

High Energy Physics - Phenomenology · Physics 2012-03-27 E. Iancu , D. N. Triantafyllopoulos

We propose a new method to implement the running coupling constant in the JIMWLK equation, imposing the scale dependence on the correlation function of the random noise in the Langevin formulation. We interpret this scale choice as the…

High Energy Physics - Phenomenology · Physics 2013-03-29 T. Lappi , H. Mäntysaari

Recently Kovner and Lublinsky proposed a set of equations which can be viewed as dual to JIMWLK evolution. We show that these dual equations have a natural dipole-like structure, as conjectured by Kovner and Lublinsky. In the high energy…

High Energy Physics - Phenomenology · Physics 2009-11-11 C. Marquet , A. H. Mueller , A. I. Shoshi , S. M. H. Wong

We derive a high energy factorization theorem for inclusive gluon production in A+A collisions. Our factorized formula resums i) all order leading logarithms (g^2 \ln(1/x_{1,2}))^n of the incoming partons momentum fractions, and ii) all…

High Energy Physics - Phenomenology · Physics 2009-01-09 Francois Gelis , Tuomas Lappi , Raju Venugopalan

In processes involving small-x partons, like in deep inelastic scattering and in hadronic collisions at high energy, the final state can be expressed in terms of correlators of Wilson lines. We study such high-point correlators evolving…

High Energy Physics - Phenomenology · Physics 2013-02-06 M. Alvioli , G. Soyez , D. N. Triantafyllopoulos

We propose a method for solving the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation on quantum computers. Our approach exploits the reformulation of the JIMWLK equation as a Lindblad master equation…

High Energy Physics - Phenomenology · Physics 2026-03-04 Anjali A. Agrawal , Evan Budd , Alexander F. Kemper , Vladimir V. Skokov , Andrey Tarasov , Shaswat Tiwari

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in Nc the mean field (Gaussian) approximation where the…

High Energy Physics - Phenomenology · Physics 2010-05-25 Adrian Dumitru , Jamal Jalilian Marian

We calculate isolated photon production at forward rapidities in proton-nucleus collisions in the Color Glass Condensate framework. Our calculation uses dipole cross sections solved from the running coupling Balitsky-Kovchegov equation with…

High Energy Physics - Phenomenology · Physics 2019-02-20 B. Ducloué , T. Lappi , H. Mäntysaari

Present knowledge of QCD n-point functions of Wilson lines at high energies is rather limited. In practical applications, it is therefore customary to factorize higher n-point functions into products of two-point functions (dipoles) which…

High Energy Physics - Phenomenology · Physics 2010-11-11 Adrian Dumitru , Jamal Jalilian-Marian

We include the perturbative JIMWLK energy evolution into the IP-Glasma initial state description used to simulate the early-time dynamics in heavy ion collisions. By numerically solving the JIMWLK equation on an event-by-event basis, we…

Nuclear Theory · Physics 2025-08-29 Heikki Mäntysaari , Björn Schenke , Chun Shen , Wenbin Zhao

We consider evolution of observables which depend on a small but fixed value of longitudinal momentum fraction $x$, to high rapidity, such that $\eta>\ln 1/x$. We show that this evolution is not given by the JIMWLK (or BK) equation. We…

High Energy Physics - Phenomenology · Physics 2024-07-24 Haowu Duan , Alex Kovner , Michael Lublinsky

We consider one loop corrections to single inclusive particle production in parton-nucleus scattering at high energies, treating the target nucleus as a Color Glass Condensate. We prove by explicit computation that in the leading log Q^2…

High Energy Physics - Phenomenology · Physics 2014-11-18 Adrian Dumitru , Arata Hayashigaki , Jamal Jalilian-Marian

We construct a generalization of the JIMWLK Hamiltonian, going beyond the eikonal approximation, which governs the high-energy evolution of the scattering between a dilute projectile and a dense target with an arbitrary longitudinal extent…

High Energy Physics - Phenomenology · Physics 2015-06-19 Edmond Iancu

We discuss the definition and the energy evolution of scattering amplitudes with $C$-odd ("odderon") quantum numbers within the effective theory for the Color Glass Condensate (CGC) endowed with the functional, JIMWLK, evolution equation.…

High Energy Physics - Phenomenology · Physics 2011-01-25 Y. Hatta , E. Iancu , K. Itakura , L. McLerran

We perform the analytical next-to-leading order calculation of the process $p+A\to \gamma^{*}+\mathrm{jet}+X$, at forward rapidities and low $x$. These kinematics justify a hybrid approach, where a quark from the \textquoteleft projectile'…

High Energy Physics - Phenomenology · Physics 2023-08-07 Pieter Taels

In this thesis the Color Glass Condensate (CGC) framework, which describes quantum chromodynamics (QCD) at high energy, is applied to various scattering processes. Higher order corrections to the CGC evolution equations, known as the BK and…

High Energy Physics - Phenomenology · Physics 2015-06-25 Heikki Mäntysaari