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We show that high energy scattering is a statistical process essentially similar to reaction-diffusion in a system made of a finite number of particles. The Balitsky-JIMWLK equations correspond to the time evolution law for the particle…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Iancu , A. H. Mueller , S. Munier

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

Pattern Formation and Solitons · Physics 2013-05-29 V. N. Biktashev , M. A. Tsyganov

The propagation of an external transverse magnetic signal acting locally on a 1d chain of spins generates a disturbance which runs through the system. This quantum effect can be interpreted as a classical traveling wave which contains a…

Quantum Physics · Physics 2015-05-30 Jean Richert , Tarek Khalil

We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondence is a consequence of the conformal…

High Energy Physics - Phenomenology · Physics 2017-02-24 Alexey A. Vladimirov

We are concerned with the persistence of both predator and prey in a diffusive predator-prey system with a climate change effect, which is modeled by a spatial-temporal heterogeneity depending on a moving variable. Moreover, we consider…

Analysis of PDEs · Mathematics 2021-05-10 Wonhyung Choi , Thomas Giletti , Jong-Shenq Guo

Different treatments for the inclusion of higher-order perturbative QCD corrections in parton based transport models of relativistic heavy-ion collisions are studied and their influence on experimental observables is investigated. At RHIC,…

Nuclear Theory · Physics 2008-11-26 S. A. Bass , B. Muller

Parton evolution with the rapidity essentially is a branching diffusion process. We describe the fluctuations of the density of partons which affect the properties of QCD scattering amplitudes at moderately high energies. We arrive at…

High Energy Physics - Phenomenology · Physics 2014-10-22 Stephane Munier

We revisit the scattering of quantum test particles on the conical $(2+1)$-dimensional spacetime and find the scatteting amplitude as a function of the boundary conditions imposed at the appex of the cone. We show that the boundary…

General Relativity and Quantum Cosmology · Physics 2017-08-02 V. S. Barroso , J. P. M. Pitelli

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

Populations and Evolution · Quantitative Biology 2017-12-29 Ozgur Aydogmus

Conformal symmetry is broken in physical QCD; nevertheless, one can use conformal symmetry as a template, systematically correcting for its nonzero $\beta$ function as well as higher-twist effects. For example, commensurate scale relations…

High Energy Physics - Phenomenology · Physics 2017-08-23 Stanley J. Brodsky

We examine both analytically and numerically the validity of factorization for the double dipole scattering amplitude T^{(2)} which appears on the right hand side of the BK--JIMWLK equation. We demonstrate that, if one uses a dilute object…

High Energy Physics - Phenomenology · Physics 2008-11-26 Emil Avsar , Yoshitaka Hatta

We argue that at moderately large momentum transfer -t <10 GeV^2, hadronic form factors and wide-angle Compton scattering amplitudes are dominated by mechanism corresponding to overlap of soft wave functions. We show that the soft…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin

We gain insight on the fixed point dynamics of $d$ dimensional quantum field theories by exploiting the critical behavior of the $d-\epsilon$ sister theories. To this end we first derive a self-consistent relation between the $d-\epsilon$…

High Energy Physics - Phenomenology · Physics 2025-04-09 Oleg Antipin , Alan Pinoy , Francesco Sannino , Shahram Vatani

We examine the QCD evolution of the helicity and transversity parton distribution functions when including also their dependence on transverse momentum. Using an appropriate definition of these polarized transverse momentum distributions…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alessandro Bacchetta , Alexei Prokudin

Within the framework of a (1+1)-dimensional model which mimics evolution and scattering in QCD at high energy, we study the influence of the running of the coupling on the high-energy dynamics with Pomeron loops. We find that the particle…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Dumitru , E. Iancu , L. Portugal , G. Soyez , D. N. Triantafyllopoulos

When hadrons scatter at high energies, strong color fields, whose dynamics is described by quantum chromodynamics (QCD), are generated at the interaction point. If one represents these fields in terms of partons (quarks and gluons), the…

High Energy Physics - Phenomenology · Physics 2012-06-27 S. Munier

We show that the enhancement of the saturation scale in large nuclei relative to the proton is significantly influenced by the effects of quantum evolution and the impact parameter dependence of dipole cross sections in high energy QCD. We…

High Energy Physics - Phenomenology · Physics 2010-03-25 H. Kowalski , T. Lappi , R. Venugopalan

Single-spin asymmetries were long thought to vanish in high-energy scattering processes because of their specific time-reversal behavior. Time-reversal-odd phenomena, however, appear naturally when one includes effects of intrinsic…

High Energy Physics - Phenomenology · Physics 2009-02-19 P. J. Mulders

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

In this paper we study the dispersive properties related to a model of peridynamic evolution, governed by a non local initial value problem, in the cases of two and three spatial dimensions. The features of the wave propagation…

Analysis of PDEs · Mathematics 2023-03-21 Alessandro Coclite , Giuseppe Maria Coclite , Giuseppe Fanizza , Francesco Maddalena