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arXiv 0710.1922hep-ph
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多重pomeron交换的反常维数

On the anomalous dimensions of the multiple pomeron exchanges

Bo-Wen Xiao

摘要:

在大$N_{c}$极限下的高能硬散射可以用QCD偶极子模型描述。在本文中,单,双和三重BFKL pomeron交换振幅显式计算内的偶极子模型。在此基础上,给出了控制$1\Rightarrow k$振幅反常维数的一般公式$γ^{(k)*}_{0}=χ^{-1}(kχ({1/2}))$。就幺正性问题而言,我们发现,由于图的动态演化,图的反常维数$γ$随图的不同而不同。最后将计算结果与Reggeon场论进行了比较。

英文摘要:

High energy hard scattering in large $N_{c}$ limit can be described by the QCD dipole model. In this paper, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model. Based on the calculation, the general formula $γ^{(k)*}_{0}=χ^{-1}(kχ({1/2}))$ which governs the anomalous dimension of $1\Rightarrow k$ amplitude is conjectured. As far as the unitarity problem is concerned, we find that the anomalous dimension $γ$ varies from graph to graph due to the DGLAP evolution. In the end, a comparison between this computation and reggeon field theory is provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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