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arXiv 2412.05085hep-phhep-thnucl-th
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用于高能散射的 Born-Oppenheimer 重整化群:设置与波函数

Born-Oppenheimer Renormalization group for High Energy Scattering: the Setup and the Wave Function

Haowu Duan, Alex Kovner, Michael Lublinsky

AI总结:

本文提出基于序贯 Born-Oppenheimer 近似的 QCD 重整化群框架,统一描述高能与横向标度演化,并推导强子态演化波函数及相容的 $S$ 矩阵。

摘要:

我们发展了一种基于序贯 Born-Oppenheimer 近似的 QCD 演化方法,随着演化参数增大,这些近似纳入越来越高的频率模式。这种 Born-Oppenheimer 重整化群是一种通用方法,既适用于高能演化,也适用于横向分辨标度 $Q^2$ 下的演化。在前一种情形中,它给出高能演化的频率有序表述,其中既包括产生低纵向动量胶子的 eikonal 分裂,也包括产生高横向动量部分子的类 DGLAP 分裂。在本系列的第一篇论文中,我们阐述该方法的表述,并推导强子态演化后波函数的表达式。我们还讨论了与频率排序相一致的 $S$ 矩阵形式。

英文摘要:

We develop an approach to QCD evolution based on the sequential Born-Oppenheimer approximations that include higher and higher frequency modes as the evolution parameter is increased. This Born-Oppenheimer renormalization group is a general approach which is valid for the high energy evolution as well as the evolution in transverse resolution scale $Q^2$. In the former case it yields the frequency ordered formulation of high energy evolution, which includes both the eikonal splittings which produce gluons with low longitudinal momentum, and the DGLAP-like splittings which produce partons with high transverse momentum. In this, first paper of the series we lay out the formulation of the approach, and derive the expression for the evolved wave function of a hadronic state. We also discuss the form of the $S$-matrix which is consistent with the frequency ordering.

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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