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arXiv 0811.3586hep-ph
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N=4 SYM中细胞核上DIS的Glauber - Gribov方法

Glauber - Gribov approach for DIS on nuclei in N=4 SYM

E. Levin, J. Miller, B. Z. Kopeliovich, Ivan Schmidt

备注：
40pp.,9 figures in eps files
发表信息：
JHEP 0902:048,2009
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摘要：

本文发展了N=4对称模型中原子核深度非弹性散射的Glauber-Gribov方法。结果表明，振幅显示相同的一般属性，如几何标度，是在高密度QCD方法的情况下。我们发现导致引力子正则化的量子效应使核子振幅出现虚部，这使得N=4 SYM中的DIS几乎与高密度QCD中的一致.我们得出结论，对于N=4的对称性，核子振幅的碰撞参量依赖性是非常重要的，整个运动学区域可以分为三个区域，本文对此进行了讨论。我们重新审视了DIS的偶极子描述，并提出了一个新的重整化拉格朗日的冲击波形式主义，再现了Glauber-Gribov方法在一定的运动学区域。然而，饱和动量原来是独立的能量，因为它已经讨论了由阿尔巴塞特，科夫切戈夫和Alzheotis。我们讨论了这样一个饱和动量$Q_s(A)$的物理意义，并认为人们可以考虑只有$Q>Q_s(A)$内的冲击波近似。

英文摘要：

In this paper the Glauber-Gribov approach for deep-inelastic scattering (DIS) with nuclei is developed in N=4 SYM. It is shown that the amplitude displays the same general properties, such as geometrical scaling, as is the case in the high density QCD approach. We found that the quantum effects leading to the graviton reggeization, give rise to an imaginary part of the nucleon amplitude, which makes the DIS in N=4 SYM almost identical to the one expected in high density QCD. We concluded that the impact parameter dependence of the nucleon amplitude is very essential for N=4 SYM, and the entire kinematic region can be divided into three regions which are discussed in the paper. We revisited the dipole description for DIS and proposed a new renormalized Lagrangian for the shock wave formalism which reproduces the Glauber-Gribov approach in a certain kinematic region. However the saturation momentum turns out to be independent of energy, as it has been discussed by Albacete, Kovchegov and Taliotis. We discuss the physical meaning of such a saturation momentum $Q_s(A)$ and argue that one can consider only $Q>Q_s(A)$ within the shock wave approximation.

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