Nonlinear evolution and parton distributions at LHC and THERA energies

Lublinsky, Michael; Gotsman, E.; Levin, E.; Maor, U.

doi:10.1016/s0375-9474(01)01150-2

Cited by 52 publications

(75 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 6 shows the Y -dependence of Q 2 s for several initial conditions and different choices ofᾱ 0 , calculated for all the kernels considered in this work. The rise of Q s is much faster for fixed than for running coupling, as already observed in [42,[44][45][46][47][48]83,89]. previous numerical studies at very high rapidities [43] but slightly smaller than the theoretical expectation d = 4.88 [32,33].…”

Section: Rapidity Dependence Of the Saturation Scalesupporting

confidence: 78%

“…Most of them refer to the fixed coupling case without impact parameter dependence, but analyses of the effect of a running coupling [42,[44][45][46][47][48] and of the dependence on impact parameter [49][50][51] have also been carried out. Besides, there have been attempts to go beyond the large-N c limit, either by analytical arguments [52][53][54] or by numerically solving the full hierarchy of evolution equations [47].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical analysis of the Balitsky-Kovchegov equation with running coupling: Dependence of the saturation scale on nuclear size and rapidity

et al. 2005

View full text Add to dashboard Cite

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 an exponential dependence onFor the running coupling case, we re-derive analytical estimates for the A-and Y -dependences of the saturation scale and test them nu-where we find numerically ∆ ′ ≃ 3.2. We study the behaviour of the gluon distribution at large transverse momentum, characterizing it by an anomalous dimension 1 − γ which we define in a fixed region of small dipole sizes. In contrast to previous analytical work, we find a marked difference between the fixed coupling (γ ≃ 0.65) and running coupling (γ ∼ 0.85) results. Our numerical findings show that both a scaling function depending only on the variable r Q s and the perturbative double-leadinglogarithmic expression, provide equally good descriptions of the numerical solutions for very small r-values below the so-called scaling window.

show abstract

Section: Rapidity Dependence Of the Saturation Scalesupporting

confidence: 78%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the Balitsky-Kovchegov equation with running coupling: Dependence of the saturation scale on nuclear size and rapidity

et al. 2005

View full text Add to dashboard Cite

show abstract

“…There is currently a large interest in the solutions to eq. (4.24), and significant progress has been achieved by combining analytic and numerical methods [19,45,50,54,55,58]. The conclusions reached in this way are equivalent to those obtained from direct investigations of the RGE (3.49) [10,57] that we shall review in what follows.…”

Section: The Balitsky-kovchegov Equationmentioning

confidence: 73%

The Colour Glass Condensate: An Introduction

Iancu

Leonidov

McLerran

2002

QCD Perspectives on Hot and Dense Matter

192

427

View full text Add to dashboard Cite

In these lectures, we develop the theory of the Colour Glass Condensate. This is the matter made of gluons in the high density environment characteristic of deep inelastic scattering or hadron-hadron collisions at very high energy. The lectures are self contained and comprehensive. They start with a phenomenological introduction, develop the theory of classical gluon fields appropriate for the Colour Glass, and end with a derivation and discussion of the renormalization group equations which determine this effective theory.

show abstract

“…To this goal the results for nuclei should be compared with ones for proton targets [21]. Unfortunately, the gain is quite modest and it consists of about half order of magnitude for very heavy nuclei.…”

Section: Solution Of the Nonlinear Equationmentioning

confidence: 99%

Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

Levin

Lublinsky

2001

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

We present the numerical solution of the non-linear evolution equation for DIS on nuclei for x = 10 −2 ÷ 10 −7 . We demonstrate that the solution to the non-linear evolution equation is quite different from the Glauber -Mueller formula which was used as the initial condition for the equation.We illustrate the energy profit for performing DIS experiments on nuclei. However, it turns out that the gain is quite modest: x Au ≃ 5 x proton for the same parton density.We find that the saturation scale Q 2 s ∝ A 1 3 . For gold the saturation scale Q s,Au ≃ 1.5 GeV at x = 10 −3 . Such a large value leads to considerable contribution of the high density QCD phase to RHIC data and reveals itself in essential damping for both xG A and F 2A .

show abstract

Nonlinear evolution and parton distributions at LHC and THERA energies

Cited by 52 publications

References 48 publications

Numerical analysis of the Balitsky-Kovchegov equation with running coupling: Dependence of the saturation scale on nuclear size and rapidity

Numerical analysis of the Balitsky-Kovchegov equation with running coupling: Dependence of the saturation scale on nuclear size and rapidity

The Colour Glass Condensate: An Introduction

Parton densities and saturation scale from nonlinear evolution in DIS on nuclei

Contact Info

Product

Resources

About