The chaotic effects in a nonlinear QCD evolution equation

Wei Zhu; Zhenqi Shen; Jianhong Ruan

doi:10.1016/j.nuclphysb.2016.06.031

The chaotic effects in a nonlinear QCD evolution equation

Wei Zhu^*
, Zhenqi Shen
, Jianhong Ruan

^*Corresponding author for this work

School of Physics and Electronic Science

East China Normal University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the available saturation models as input, we find that the new evolution equation has the chaos solution with positive Lyapunov exponents in the perturbative range. We predict a new kind of shadowing caused by chaos, which blocks the QCD evolution in a critical small x range. The blocking effect in the evolution equation may explain the Abelian gluon assumption and even influence our expectations to the projected Large Hadron Electron Collider (LHeC), Very Large Hadron Collider (VLHC) and the upgrade (CppC) in a circular e⁺e⁻ collider (SppC).

Original language	English
Pages (from-to)	1-35
Number of pages	35
Journal	Nuclear Physics B
Volume	911
DOIs	https://doi.org/10.1016/j.nuclphysb.2016.06.031
State	Published - 1 Oct 2016

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10.1016/j.nuclphysb.2016.06.031

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title = "The chaotic effects in a nonlinear QCD evolution equation",

abstract = "The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the available saturation models as input, we find that the new evolution equation has the chaos solution with positive Lyapunov exponents in the perturbative range. We predict a new kind of shadowing caused by chaos, which blocks the QCD evolution in a critical small x range. The blocking effect in the evolution equation may explain the Abelian gluon assumption and even influence our expectations to the projected Large Hadron Electron Collider (LHeC), Very Large Hadron Collider (VLHC) and the upgrade (CppC) in a circular e+e− collider (SppC).",

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T1 - The chaotic effects in a nonlinear QCD evolution equation

AU - Zhu, Wei

AU - Shen, Zhenqi

AU - Ruan, Jianhong

PY - 2016/10/1

Y1 - 2016/10/1

N2 - The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the available saturation models as input, we find that the new evolution equation has the chaos solution with positive Lyapunov exponents in the perturbative range. We predict a new kind of shadowing caused by chaos, which blocks the QCD evolution in a critical small x range. The blocking effect in the evolution equation may explain the Abelian gluon assumption and even influence our expectations to the projected Large Hadron Electron Collider (LHeC), Very Large Hadron Collider (VLHC) and the upgrade (CppC) in a circular e+e− collider (SppC).

AB - The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the available saturation models as input, we find that the new evolution equation has the chaos solution with positive Lyapunov exponents in the perturbative range. We predict a new kind of shadowing caused by chaos, which blocks the QCD evolution in a critical small x range. The blocking effect in the evolution equation may explain the Abelian gluon assumption and even influence our expectations to the projected Large Hadron Electron Collider (LHeC), Very Large Hadron Collider (VLHC) and the upgrade (CppC) in a circular e+e− collider (SppC).

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DO - 10.1016/j.nuclphysb.2016.06.031

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SN - 0550-3213

VL - 911

SP - 1

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JO - Nuclear Physics B

JF - Nuclear Physics B

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The chaotic effects in a nonlinear QCD evolution equation

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