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arXiv 1109.0347hep-phnucl-th
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角关联与高能演化

On Angular Correlations and High Energy Evolution

Alex Kovner, Michael Lublinsky

摘要:

我们解决的问题,在何种程度上JIMWLK进化是能够考虑到角相关的高能强子波函数。我们的结论是,如果不考虑演化中的坡密子环,波函数中的角相关(以及其他相关)就不能可靠地计算。作为一个例子,我们数值研究的角度之间的相关性的能量演化偶极散射振幅的大$N_c$近似的JIMWLK演变(“'弹丸偶极子模型”)的框架。目标相关性是通过对各向异性初始条件的(各向同性)系综进行平均来引入的。我们发现,即使在饱和半径内,相关性也会很快消失。这与我们对JIMWLK进化的物理描述是一致的。另一方面,目标QCD波函数中饱和半径内的实际相关性在任何快度下都应该保持相当大。

英文摘要:

We address the question to what extent JIMWLK evolution is capable of taking into account angular correlations in a high energy hadronic wave function. Our conclusion is that angular (and indeed other) correlations in the wave function cannot be reliably calculated without taking into account Pomeron loops in the evolution. As an example we study numerically the energy evolution of angular correlations between dipole scattering amplitudes in the framework of the large $N_c$ approximation to JIMWLK evolution (the "`projectile dipole model"'). Target correlations are introduced via averaging over (isotropic) ensemble of anisotropic initial conditions. We find that correlations disappear very quickly with rapidity even inside the saturation radius. This is in accordance with our physical picture of JIMWLK evolution. The actual correlations inside the saturation radius in the target QCD wave function, on the other hand should remain sizable at any rapidity.

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