The chaotic effects in a nonlinear QCD evolution equation

The chaotic effects in a nonlinear QCD evolution equation

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 evolutio...

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Main Authors: Wei Zhu, Zhenqi Shen, Jianhong Ruan
Format: Article
Language:English
Published: Elsevier 2016-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316302127
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spelling doaj-b8fd9552ebe046668d15e0e96ac673522020-11-24T23:31:57ZengElsevierNuclear Physics B0550-32131873-15622016-10-01911C13510.1016/j.nuclphysb.2016.06.031The chaotic effects in a nonlinear QCD evolution equationWei ZhuZhenqi ShenJianhong RuanThe 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).http://www.sciencedirect.com/science/article/pii/S0550321316302127
collection DOAJ
language English
format Article
sources DOAJ
author Wei Zhu
Zhenqi Shen
Jianhong Ruan
spellingShingle Wei Zhu
Zhenqi Shen
Jianhong Ruan
The chaotic effects in a nonlinear QCD evolution equation
Nuclear Physics B
author_facet Wei Zhu
Zhenqi Shen
Jianhong Ruan
author_sort Wei Zhu
title The chaotic effects in a nonlinear QCD evolution equation
title_short The chaotic effects in a nonlinear QCD evolution equation
title_full The chaotic effects in a nonlinear QCD evolution equation
title_fullStr The chaotic effects in a nonlinear QCD evolution equation
title_full_unstemmed The chaotic effects in a nonlinear QCD evolution equation
title_sort chaotic effects in a nonlinear qcd evolution equation
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-10-01
description 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).
url http://www.sciencedirect.com/science/article/pii/S0550321316302127
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