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An exact analytical solution of the nonlinear boson diffusion equation (NBDE) is presented. It accounts for the time evolution towards the Bose-Einstein equilibrium distribution through inelastic and elastic collisions in case of constant…

Nuclear Theory · Physics 2024-07-31 L. Möhringer , G. Wolschin

The dynamical entropy of dense gluonic states in proton-proton collisions at high energies is studied by using phenomenological models for the unintegrated gluon distribution. The corresponding transverse momentum probability distributions…

High Energy Physics - Phenomenology · Physics 2022-05-25 G. S. Ramos , M. V. T. Machado

We propose a new approach to the study of (nonlinear) growth and instability for semilinear evolution equations with compact nonlinearities. We show, in particular, that compact nonlinear perturbations of a linear evolution equation can be…

Analysis of PDEs · Mathematics 2023-09-27 Vladimir Müller , Roland Schnaubelt , Yuri Tomilov

I discuss the physical picture underlying the evolution equations with Pomeron loops recently derived in multicolor QCD at high energy and qualitatively explain the notion of `self-duality'.

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Iancu

Yangian symmetric correlators provide a tool to investigate integrability features of QCD at high energies. We discuss the kernel of the equation of perturbative Regge asymptotics, the kernels of the evolution equation of parton…

High Energy Physics - Theory · Physics 2018-11-21 R. Kirschner

We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Mandl , Dénes Sexty , Daniel Unterhuber

We propose a new parton model and demonstrate that the model describes the relevant experimental data at high energies. The model is based on Pomeron calculus in 1+1 space-time dimensions, as suggested in Ref. [18] and on simple assumptions…

High Energy Physics - Phenomenology · Physics 2019-03-27 E. Gotsman , E. Levin , I. Potashnikova

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

The chemical equilibration of the parton distribution in collisions of two heavy nuclei at the CERN Large Hadron Collider is investigated. Initial conditions are obtained from a self-screened parton cascade calculation. The onset of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dinesh Kumar Srivastava , Munshi Golam Mustafa , Berndt Müller

We study the process of equilibration between two non-extensive subsystems in the framework of a particular non-extensive Boltzmann equation. We have found that even subsystems with different non-extensive properties achieve a common…

Statistical Mechanics · Physics 2007-05-23 T. S. Biro , G. Purcsel

Transport equations have been applied successfully to describe the quarkonium evolution inside the quark-gluon plasma, which include both plasma screening effects and recombination. We demonstrate how the quarkonium transport equation is…

High Energy Physics - Phenomenology · Physics 2020-09-03 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen Bass , Thomas Mehen , Berndt Müller

We investigate the chemical equilibration of the parton distributions in collisions of two heavy nuclei. We use initial conditions obtained from a self-screened parton cascade calculation and, for comparison, from the HIJING model. We…

Nuclear Theory · Physics 2008-11-26 D. K. Srivastava , M. G. Mustafa , B. Müller

The Kwiecinski equations for the QCD evolution of the unintegrated parton distributions in the transverse-coordinate space (b) are analyzed with the help of the Mellin-transform method. The equations are solved numerically in the general…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrique Ruiz Arriola , Wojciech Broniowski

The high energy/density QCD has been widely used for DIS phenomenology with a projectile particle considered as perturbative and dilute. We review some recent attempts to derive a high energy evolution kernel which treats targets and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Lublinsky

In this document, we present the global QCD analysis of parton-to-kaon fragmentation functions at next-to-leading order accuracy using the latest experimental information on single-inclusive kaon production in electron-positron…

High Energy Physics - Phenomenology · Physics 2017-11-22 R. J. Hernández-Pinto , M. Epele , D. de Florian , R. Sassot , M. Stratmann

QCD evolution equations that naturally include longitudinal (non-propagating) fields and heavy quarks are derived. We start with the integral equations of quantum field kinetics and obtain the master equations, similar to DGLAP evolution…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Makhlin , E. Surdutovich

We consider the collinear limit of QCD amplitudes at one-loop order, and their factorization properties directly in colour space. These results apply to the multiple collinear limit of an arbitrary number of QCD partons, and are a basic…

High Energy Physics - Phenomenology · Physics 2009-11-10 German Rodrigo , Stefano Catani , Daniel de Florian , Werner Vogelsang

We give an outline of a formalism for the solution of the evolution equations for off-forward parton distributions in leading and next-to-leading orders based on partial conformal wave expansion and orthogonal polynomials reconstruction.

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Muller

In this work, we investigate the constituent parton distribution functions (PDFs) of the kaon and heavy pseudoscalar mesons within the light-cone quark model. Starting from the initial scale quark and antiquark PDFs, obtained by evaluating…

High Energy Physics - Phenomenology · Physics 2026-05-19 Satyajit Puhan

Nonlinear QCD evolution equations are essential tools in understanding the saturation of partons at small Bjorken $x_{\rm B}$, as they are supposed to restore an upper bound of unitarity for the cross section of high energy scattering. In…

High Energy Physics - Phenomenology · Physics 2021-03-16 Xiaopeng Wang , Yirui Yang , Wei Kou , Rong Wang , Xurong Chen