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The CCFM equation and its extended form with a quadratic term (KGBJS equation) are solved with fixed and running coupling constant. The solution of the KGBJS equation is compared to gluon densities resulting from the CCFM and BK equations.…

高能物理 - 唯象学 · 物理学 2013-11-13 Krzysztof Kutak , Dawid Toton

Motivated by the regime of QCD explored nowadays at LHC, where both the total energy of collision and momenta transfers are high, we investigate evolution equations of high energy factorization. In order to study such effects like parton…

高能物理 - 唯象学 · 物理学 2012-04-13 Krzysztof Kutak , Krzysztof Golec-Biernat , Stanislaw Jadach , Maciej Skrzypek

In order to study such effects like parton saturation in final states at the LHC one of the approaches is to combine physics of the BK and the CCFM evolution equations. We report on recently obtained resummed form of the BK equation and…

高能物理 - 唯象学 · 物理学 2012-06-07 Krzysztof Kutak

We perform numerical studies of the BFKL and CCFM equations for the unintegrated gluon distribution supplemented with an absorptive boundary which mimics saturation. For the BFKL equation, this procedure yields the same results for the…

高能物理 - 唯象学 · 物理学 2009-11-19 Emil Avsar , Edmond Iancu

We considerably extend our previous analysis of the implementation of an absorptive boundary condition, which mimics saturation effects, on the linear CCFM evolution. We present detailed results for the evolution of the unintegrated gluon…

高能物理 - 唯象学 · 物理学 2009-11-16 Emil Avsar , Edmond Iancu

Standard perturbative calculations lead to pathologically large NLO corrections to low-$x_{Bj}$ evolution equations like BFKL and BK. Using a more refined treatment of kinematics in mixed-space, relevant when gluon saturation sets on, one…

高能物理 - 唯象学 · 物理学 2015-06-12 Guillaume Beuf

We analyse here in LO the physical properties of the Green function solution for the BFKL equation. We show that the solution obeys the orthonormality conditions in the physical region and fulfills the completeness requirements. The…

高能物理 - 唯象学 · 物理学 2016-02-17 H. Kowalski , L. N. Lipatov , D. A. Ross

We perform analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms. The equation is defined in wide range of transverse momentum and longitudinal momentum fraction extending…

高能物理 - 唯象学 · 物理学 2025-06-03 Krzysztof Kutak , Wanchen Li , Anna Stasto , Robert Straka

We solve the CCFM equation numerically in the presence of a boundary condition which effectively incorporates the non-linear dynamics. We retain the full dependence of the unintegrated gluon distribution on the coherence scale, and extract…

高能物理 - 唯象学 · 物理学 2014-11-21 Emil Avsar , Anna M. Stasto

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

强关联电子 · 物理学 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

We consider gauge invariant quark two-point Green's functions in which the gluonic phase factor follows a skew-polygonal line. Using a particular representation for the quark propagator in the presence of an external gluon field, functional…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Sazdjian

The QCD gluon equation of motion is solved approximately by means of the Green function. This solution is used to reformulate the Lagrangian of QCD such that the gluon propagator appears directly in the interaction terms of the Lagrangian.…

高能物理 - 理论 · 物理学 2019-10-04 Jurij W. Darewych , Askold Duviryak

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Kutak , A. M. Stasto

We report on recent study [1] of the role of the kinematical constraint in the CCFM equation and its non-linear extension. We compare numerical results obtained by solving the CCFM equation and argue that kinematical constraint represents…

高能物理 - 唯象学 · 物理学 2015-05-20 Michal Deak

We consider the (process-independent) Green function for the BFKL equation in the next-to-leading order approximation, with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the…

高能物理 - 唯象学 · 物理学 2015-06-18 Henri Kowalski , Lev Lipatov , Douglas Ross

We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which…

高能物理 - 唯象学 · 物理学 2009-10-31 Edmond Iancu , Andrei Leonidov , Larry McLerran

A derivation for a polarized CCFM evolution equation which is suitable to describe the scaling behavior of the the unintegrated polarized gluon density is given. We discuss the properties of this polarized CCFM equation and compare it to…

高能物理 - 唯象学 · 物理学 2009-11-07 Martin Maul

Gauge invariant quark two-point Green's functions defined with path-ordered gluon field phase factors along skew-polygonal lines joining the quark to the antiquark are considered. Functional relations between Green's functions with…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Sazdjian

I present a simplified model for the gluon Green's function governing high-energy QCD dynamics, in arbitrary space-time dimensions. The BFKL integral equation (either with or without running coupling) reduces to a second order differential…

高能物理 - 唯象学 · 物理学 2009-02-18 Dimitri Colferai

Real-time Green's function simulations of molecular junctions (open quantum systems) are typically performed by solving the Kadanoff-Baym equations (KBE). The KBE, however, impose a serious limitation on the maximum propagation time due to…

介观与纳米尺度物理 · 物理学 2015-06-17 S. Latini , E. Perfetto , A. -M. Uimonen , R. van Leeuwen , G. Stefanucci
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