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Related papers: One-dimensional model for QCD at high energy

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The present paper is devoted to the investigation of the long term behavior of a class of singular multi-dimensional diffusion processes that get absorbed in finite time with probability one. Our focus is on the analysis of quasi-stationary…

Probability · Mathematics 2021-02-12 Alexandru Hening , Weiwei Qi , Zhongwei Shen , Yingfei Yi

The hadronization of an expanding partonic fireball is studied within the Parton-Hadron-Strings Dynamics (PHSD) approach which is based on a dynamical quasiparticle model (DQPM) matched to reproduce lattice QCD results in thermodynamic…

Nuclear Theory · Physics 2015-05-13 W. Cassing , E. L. Bratkovskaya , Y. -. Z. Xing

We consider deeply inelastic scattering at very high energies in the saturation regime. The emerging picture corresponds to the propagation of a dipole, the quark-antiquark pair, in a shock wave color field of the target. We use the…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. I. Balitsky , A. V. Belitsky

We present results, for heavy to moderate quark masses, of a study of thermodynamic properties of 1-flavour QCD, using the multiboson algorithm. Finite-size scaling behaviour is studied on lattices of size $8^3\times 4$, $12^3\times 4$ and…

High Energy Physics - Lattice · Physics 2009-10-30 C. Alexandrou , A. Borici , A. Feo , Ph. de Forcrand , A. Galli , F. Jegerlehner , T. Takaishi

We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equation. We obtain two main results. First, in the short time…

Probability · Mathematics 2020-12-16 François Huveneers , François Simenhaus

In this paper the exact analytical solution is found for the BFKL Pomeron calculus in zero transverse dimensions, in which all Pomeron loops have been included. The comparison with the approximate methods of the solution is given, and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Kozlov , E. Levin

We study quantum percolation which is described by a tight-binding Hamiltonian containing only off-diagonal hopping terms that are generally in quenched binary disorder (zero or one). In such a system, transmission of a quantum particle is…

Disordered Systems and Neural Networks · Physics 2007-09-20 Md Fhokrul Islam , Hisao Nakanishi

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 introduce a universal evolution equation for elastic scattering of hadrons, derived from Regge field theory (RFT) and solved in closed analytical form. The equation emerges from a complex logistic structure and evolves initial amplitude…

High Energy Physics - Phenomenology · Physics 2025-05-30 Anderson Kendi Kohara

We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions. By using random graphs and methods from percolation theory, we prove in the two dimensional setting that some local operators grow at ballistic rate,…

Quantum Physics · Physics 2023-07-07 Tom Farshi , Jonas Richter , Daniele Toniolo , Arijeet Pal , Lluis Masanes

We study numerically the evolution of wavepackets in quasi one-dimensional random systems described by a tight-binding Hamiltonian with long-range random interactions. Results are presented for the scaling properties of the width of packets…

Condensed Matter · Physics 2009-10-28 F. M. Izrailev , T. Kottos , A. Politi , G. P. Tsironis

We present a QCD-based model where rescattering between final state partons in deep inelastic scattering leads to events with large rapidity gaps and a leading proton. In the framework of this model the amplitude for multiple gluon…

High Energy Physics - Phenomenology · Physics 2011-01-05 Roman Pasechnik , Rikard Enberg , Gunnar Ingelman

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels

Unintegrated gluon densities in nuclei, dipole-nucleus cross-sections and quark densities are numerically investigated in the high-colour limit, with the scattering on a heavy nucleus exactly described by the sum of fan diagrams of BFKL…

High Energy Physics - Phenomenology · Physics 2009-01-07 N. Armesto , M. A. Braun

Just as linearized perturbations of time-independent configurations can be decomposed into normal modes, those of periodic systems can be decomposed into Floquet modes, which each evolve by a fixed phase over one period. We show that in the…

High Energy Physics - Theory · Physics 2025-11-10 Jarah Evslin , Tomasz Romańczukiewicz , Katarzyna Slawińska , Andrzej Wereszczynski

A QCD-Pomeron composed by two non-perturbative gluons with a dynamically generated mass, is constructed in a gauge invariant way. The gluon propagator is infrared-finite. The model properly describes data on elastic scattering, exclusive…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. B. Gay Ducati

We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, the multi-layer version of the model is reduced to a…

Statistical Mechanics · Physics 2007-05-23 T. Sasamoto , T. Imamura

With the aim of studying nonperturbative out-of-equilibrium dynamics of high-energy particle collisions on quantum simulators, we investigate the scattering dynamics of lattice quantum electrodynamics in 1+1 dimensions. Working in the…

This study investigates the evolution of quark gluon plasma (QGP) within a generalized Bjorken flow framework. The medium under consideration is assumed to possess a finite transverse size and to expand both radially and along the beam…

Nuclear Theory · Physics 2023-08-22 M. Karimabadi , A. F. Kord , B. Azadegan

We show how one can obtain geometric scaling properties from the Balitsky-Kovchegov (BK) equation. We start by explaining how, this property arises for the b-independent BK equation. We show that it is possible to extend this model to the…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Soyez , C. Marquet , R. Peschanski