Relating different approaches to nonlinear QCD evolution at finite gluon density
By A. Kovner, J. G. Milhano, H. Weigert. 2000
389 citations recorded by the source corpus.
We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the Jalilian-Marian–Kovner–Leonidov–Weigert (JKLW) equation in the limit of small induced charge density. We argue that the higher nonlinearities resummed by the JKLW equation correspond, in physical terms, to the breakdown of the eikonal approximation when the gluon fields in the target are large.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3d471cee37f3787832affe0447c59a72f1ee845f
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In Nuclear and High Energy Physics
- Y. Kovchegov
- E. Iancu
- H. Weigert
- A. Mueller
- K. Rummukainen
- J. Albacete
- D. Triantafyllopoulos
- G. Soyez
Citations in the corpus
- Universal features of JIMWLK and BK evolution at small x (2003, background): “ar X iv :h ep -p h/ 03 09 30 6v 1 2 6 Se p 20 03 CERN-TH/2003-230 Universal features of JIMWLK and BK evolution at small x Kari Rummukainen,1,2 and Heribert Weigert3”
- Unitarity at small Bjorken x (2000, methodology): “However, I will delay writing down this Langevin equation –the prerequisite for any numerical simulation for such evolution– until a better understanding of the properties of the RG equation has been reached.”
- Collinearly-improved BK evolution meets the HERA data (2015, background): “The subsequent understanding [8–10] of this scaling from the non-linear evolution equations in QCD — the Balitsky–JIMWLK hierarchy [11–17] and its mean field approximation known as the Balitsky–Kovchegov (BK) equation [18] — has greatly increased our confidence in the validity of the pQCD approach t”
- Triumvirate of running couplings in small-x evolution (2006, methodology): “We propose using a particular scheme which gives us R as an explicit function of r1 and r2.”
- Solving The High Energy Evolution Equation Including Running Coupling Corrections (2007, neutral): “A fit to a pure power-law function, f = a τ 2γ , in the region τ ∈ [10, 10] yields γ ∼ 0.”