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At small-x, the structure function F_L(x,Q2) is driven by the gluon content of the nucleon target and consequently it can unravel the underlying QCD dynamics in that region. In this work, one studies its behavior on photon virtuality Q2 at…

High Energy Physics - Phenomenology · Physics 2009-11-11 Magno V. T. Machado

We study pattern formation in planar fluid systems driven by intermolecular cohesion (which manifests as a line tension) and dipole-dipole repulsion which are observed in physical systems including ferrofluids in Hele-Shaw cells and…

Soft Condensed Matter · Physics 2015-04-01 Jaron Kent-Dobias , Andrew J. Bernoff

The well-posedness of the growth-coagulation equation is established for coagulation kernels having singularity near the origin and growing atmost linearly at infinity. The existence of weak solutions is shown by means of the method of the…

Analysis of PDEs · Mathematics 2024-08-06 Ankik Kumar Giri , Philippe Laurençot , Saroj Si

The treatment of the running QCD coupling in evolution equations is discussed. It is shown that the use of the virtuality of ladder (vertical) partons as the scale for QCD coupling in every rung of ladder graphs is an approximation that…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

The A-dependence of the saturation momentum and the scaling behavior of the scattering of a small dipole on a nuclear target are studied in the McLerran-Venugopalan model, in fixed coupling BFKL dynamics and in running coupling BFKL…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. H. Mueller

We study the zero-dimensional prototype of the path integrals in quantum mechanics and quantum field theory, with the action $S(\phi)=\frac{\sigma }{2}\phi^{2}+\frac{\lambda}{4}\phi^{4}$. Using the Lefschetz thimble decomposition and the…

High Energy Physics - Theory · Physics 2025-01-08 Feiyu Peng , Hongfei Shu

We derive necessary density conditions for sampling and for interpolation in general reproducing kernel Hilbert spaces satisfying some natural conditions on the geometry of the space and the reproducing kernel. If the volume of shells is…

Functional Analysis · Mathematics 2018-04-03 Hartmut Führ , Karlheinz Gröchenig , Antti Haimi , Andreas Klotz , José Luis Romero

We summarize the results of including running coupling corrections into the nonlinear evolution equation for diffractive dissociation. We also document a prediction that the NLO QCD odderon intercept is zero resulting from a discussion at…

High Energy Physics - Phenomenology · Physics 2015-06-12 Yuri V. Kovchegov

We present a determination of $|V_{cb}|$ from semileptonic B decays that includes resummation of supposedly large perturbative corrections, originating from the running of the strong coupling. We argue that the low value of the BLM scale…

High Energy Physics - Phenomenology · Physics 2010-11-01 P. Ball , M. Beneke , V. M. Braun

We examine binary mixtures of superparamagnetic colloidal particles confined to a two-dimensional water-air interface both by real-space experiments and Monte-Carlo computer simulations at high coupling strength. In the simulations, the…

Soft Condensed Matter · Physics 2015-05-13 L Assoud , F Ebert , P Keim , R Messina , G Maret , H Löwen

In the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants we show that Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. Yu. Illarionov , A. V. Kotikov

We show that noncommutative electromagnetism and Dirac-Born-Infeld (DBI) theory with scalar fields are SL(2,R) self-dual when noncommutativity is light-like and we are in the slowly varying field approximation. This follows from SL(2,R)…

High Energy Physics - Theory · Physics 2009-11-07 Paolo Aschieri

We report quantum Monte Carlo results of harmonically confined quantum Bose dipoles within a range of interactions covering the evolution from a gas phase to the formation of an array of droplets. Scaling the experimental setup to a…

Quantum Gases · Physics 2024-02-07 R. Bombin , F. Mazzanti , J. Boronat

The method of Fractional Borel Summation is suggested in conjunction with self-similar factor approximants. The method used for extrapolating asymptotic expansions at small variables to large variables, including the variables tending to…

Chaotic Dynamics · Physics 2023-11-27 S. Gluzman , V. I. Yukalov

Deep inelastic scattering (DIS) total cross section data at small-x as measured by the HERA experiments is well described by Balitsky-Kovchegov (BK) evolution in the leading order dipole picture. Recently the full Next-to-Leading Order…

High Energy Physics - Phenomenology · Physics 2020-08-13 G. Beuf , H. Hänninen , T. Lappi , H. Mäntysaari

We show that a resummation model for the evolution kernel at small x creates a bridge between the weak and strong couplings. The resummation model embodies DGLAP and BFKL anomalous dimensions at leading logarithmic orders, as well as a…

High Energy Physics - Phenomenology · Physics 2010-03-25 Anna M. Stasto

Data from recent numerical simulations of the solar corona and transition region are analysed and the magnetic field connection between the low corona and the photosphere is found to be close to that of a potential field. The fieldline to…

Astrophysics · Physics 2014-10-13 B. V. Gudiksen , Å. Nordlund

Important corrections to BFKL evolution are obtained from non-leading contributions and from non-linear effects due to unitarisation or saturation. It has been difficult to estimate the relative importance of these effects, as NLO effects…

High Energy Physics - Phenomenology · Physics 2009-11-11 Emil Avsar , Gosta Gustafson , Leif Lonnblad

We investigate a two-dimensional system of active Brownian dumbbells using molecular dynamics simulations. In this model, each dumbbell is driven by an active force oriented perpendicular to the axis connecting its two constituent beads. We…

We use the Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial condition in the DGLAP evolution equations, with "frozen" and analytic modifications of the strong coupling constant to study precise…

High Energy Physics - Phenomenology · Physics 2015-06-12 A. V. Kotikov , B. G. Shaikhatdenov