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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

We study the solution of the nonlinear BK evolution equation with the recently calculated running coupling corrections [hep-ph/0609105, hep-ph/0609090]. Performing a numerical solution we confirm the earlier result of [hep-ph/0408216] that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Javier L. Albacete , Yuri V. Kovchegov

We study the effects of including a running coupling constant in high-density QCD evolution. For fixed coupling constant, QCD evolution preserves the initial dependence of the saturation momentum $Q_s$ on the nuclear size $A$ and results in…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado , U. A. Wiedemann

We study BFKL evolution and, in particular, the energy dependence of the saturation momentum in the presence of saturation boundaries limiting the region of linear BFKL evolution. In the case of fixed coupling evolution we confirm the…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. H. Mueller , D. N. Triantafyllopoulos

An iterative solution best suited for a Monte Carlo implementation is presented for the non-forward BFKL equation in a generic color representation. We introduce running coupling effects compatible with bootstrap to all orders in…

High Energy Physics - Phenomenology · Physics 2012-06-12 G. Chachamis , A. Sabio Vera , C. Salas

We resum the recently calculated second order kernel of the BFKL equation. That kernel can be viewed as the sum of a conformally invariant part and a running coupling part. The conformally invariant part leads to a corrected BFKL intercept…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yuri V. Kovchegov , A. H. Mueller

The analytic result for the $S$-matrix in the saturation regime including the running coupling is obtained. To get this result we solve the Balitsky and Kovchegov-Weigert evolution equations in the saturation regime, which include running…

High Energy Physics - Phenomenology · Physics 2009-02-23 Wenchang Xiang

The equation for the hard pomeron with a running coupling introduced on the basis of the bootstrap requirement is solved numerically. Two supercritical pomerons are found with the intercept minus 1 of the leading one of the order 0.35-0.5…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mikhail Braun , Gian Paolo Vacca , Giovanni Venturi

Employing the neural network framework, we obtain empirical fits to the electron-scattering cross sections for carbon over a broad kinematic region, extending from the quasielastic peak through resonance excitation to the onset of…

High Energy Physics - Phenomenology · Physics 2024-07-17 Beata E. Kowal , Krzysztof M. Graczyk , Artur M. Ankowski , Rwik Dharmapal Banerjee , Hemant Prasad , Jan T. Sobczyk

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne

Within the framework of a (1+1)--dimensional model which mimics high energy QCD, we study the behavior of the cross sections for inclusive and diffractive deep inelastic $\gamma^*h$ scattering cross sections. We analyze the cases of both…

High Energy Physics - Phenomenology · Physics 2012-09-28 M. B. Gay Ducati , E. G. de Oliveira , J. T. de Santana Amaral

We apply the bootstrap technique to find the moments of certain multi-trace and multi-matrix random matrix models suggested by noncommutative geometry. Using bootstrapping we are able to find the relationships between the coupling constant…

High Energy Physics - Theory · Physics 2022-02-09 Hamed Hessam , Masoud Khalkhali , Nathan Pagliaroli

Bootstrapping was designed to randomly resample data from a fixed sample using Monte Carlo techniques. However, the original sample itself defines a discrete distribution. Convolutional methods are well suited for discrete distributions,…

Methodology · Statistics 2021-07-19 Jared M. Clark , Richard L. Warr

We study the transmission through different small systems as a function of the coupling strength $v$ to the two attached leads. The leads are identical with only one propagating mode $\xi^E_C$ in each of them. Besides the conductance $G$,…

Other Condensed Matter · Physics 2009-11-13 E. N. Bulgakov , I. Rotter , A. F. Sadreev

We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different…

High Energy Physics - Theory · Physics 2024-07-22 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

A simple Monte Carlo procedure is described for simulating the multiple scattering and absorption of electrons with the incident energy in the range 1-50 keV moving through a slab of uniformly distributed material of given atomic number,…

Materials Science · Physics 2007-05-23 Nima Ghal-eh , Mohammad Farhad Rahimi , Mehrnoush Manouchehri

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

We investigate energy transport in several two-level atom or spin-1/2 models by a direct coupling to heat baths of different temperatures. The analysis is carried out on the basis of a recently derived quantum master equation which…

Quantum Physics · Physics 2009-11-13 Mathias Michel , Ortwin Hess , Hannu Wichterich , Jochen Gemmer

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

A study of the dynamical fluctuation property of jets is carried out using the Monte Carlo method. The results suggest that, the anisotropy of dynamical fluctuations in the hadronic system inside jets, changes abruptly with the variation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Liu Lianshou , Chen Gang , Fu Jinghua
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