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QCD Saturation in the Semi-classical Approach
High Energy Physics - Phenomenology · Submitted 14 May 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton density QCD.
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The abstract, sentence by sentence
In this paper the semi-classical approach to the solution of non-linear evolution equation is developed. We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton density QCD. The large impact parameter ($b_t$) behavior of the solution is discussed as well as the way how to include the non-perturbative QCD corrections in this region of $b_t$. The geometrical scaling behavior and other properties of the solution in the saturation (Color Glass Condensate) kinematic domain are analyzed. We obtain the asymptotic behavior for the physical observables and found the unitarity bounds for them.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In this paper the semi-classical approach to the solution of non-linear evolution equation is developed. | contribution 0.52 | 0.91 | 0.07 | asserted 1.00 |
| s1 | We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton density QCD. | result 0.92 | 0.96 | 0.55 | asserted 1.00 |
| s2 | The large impact parameter ($b_t$) behavior of the solution is discussed as well as the way how to include the non-perturbative QCD corrections in this region of $b_t$. | contribution 0.98 | 0.79 | 0.06 | asserted 0.92 |
| s3 | The geometrical scaling behavior and other properties of the solution in the saturation (Color Glass Condensate) kinematic domain are analyzed. | contribution 0.89 | 0.89 | 0.12 | asserted 0.96 |
| s4 | We obtain the asymptotic behavior for the physical observables and found the unitarity bounds for them. | result 0.99 | 0.96 | 0.32 | asserted 1.00 |
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The paper
Original abstract
In this paper the semi-classical approach to the solution of non-linear evolution equation is developed. We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton density QCD. The large impact parameter ($b_t$) behavior of the solution is discussed as well as the way how to include the non-perturbative QCD corrections in this region of $b_t$. The geometrical scaling behavior and other properties of the solution in the saturation (Color Glass Condensate) kinematic domain are analyzed. We obtain the asymptotic behavior for the physical observables and found the unitarity bounds for them.
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How the literature uses it
3 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Uses its method or tool 1 paper
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For large $y$ and $ξ$ we can use the semi-classical approximation( SCA, see Refs. [ref] and references therein) to take the integral over $y'$ in SOLMLN.
Multiplicity distribution of dipoles in QCD from Le, Mueller and Munier equation · Semi-classical solution · 0.85
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