2000
DOI: 10.1016/s0550-3213(99)00825-1
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Solution to the evolution equation for high parton density QCD

Abstract: In this paper a solution is given to the nonlinear equation which describes the evolution of the parton cascade in the case of the high parton density. The related physics is discussed as well as some applications to heavy ion-ion collisions. *

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Cited by 269 publications
(383 citation statements)
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“…The rate of increase is set by the factor λ. It is constant in the leading logarithmic approximation λ = 4α s N c /π [45]. Various inclusive quantities at small x at RHIC and HERA are well fitted with λ ≈ 0.25 [44,46,47,48,49,50].…”
Section: Interplay Of Two Scales: M ψ and Q Smentioning
confidence: 77%
“…The rate of increase is set by the factor λ. It is constant in the leading logarithmic approximation λ = 4α s N c /π [45]. Various inclusive quantities at small x at RHIC and HERA are well fitted with λ ≈ 0.25 [44,46,47,48,49,50].…”
Section: Interplay Of Two Scales: M ψ and Q Smentioning
confidence: 77%
“…The expansion in the negative powers of exponents of rapidity cannot be put into one to one correspondence with diagrams. The high energy behavior of the solution to the BK equation in the coordinate representation is well known (see [33]) and the question of the relation between the conformal and coordinate representation at large rapidities will be addressed in our further studies.…”
Section: Resultsmentioning
confidence: 95%
“…The equation for the "fan" diagrams in the operator expansion formalism was written by I.Balitsky [9], and in the dipole model framework [11] by Yu.Kovchegov [10]. The resulting Balitsky-Kovchegov (BK) equation is very well numerically studied in both, the saturation region and the region of small non-linearity (see [12,13,14] and [15,16]). One of the important features of the BK equation is the presence of the saturation scale at high energies that increases exponentially with rapidity, and a geometrical scaling of the solution [17,18,19].…”
Section: Introductionmentioning
confidence: 99%
“…(7.17): 19) which, as mentioned earlier, is the contribution from the saturating pieces of the single events, and thus is independent of γ 0 . This estimate holds, in particular, in the range σ ≪ z ≪ γ 0 σ 2 where T is small, T ≪ 1, yet very different from the corresponding BFKL prediction.…”
Section: Front Diffusion and The Breakdown Of The Bfkl Approximationmentioning
confidence: 81%
“…In Ref. [32] it has been argued that the fluctuations slow down the approach towards the unitarity limit as compared to the mean field approximation (MFA) [14,19]. In Ref.…”
Section: Introductionmentioning
confidence: 99%