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arXiv 0901.2560hep-phhep-th
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场论中包含的QCD区域胶子产生:包括Pomeron环

Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included

Tolga Altinoluk, Alex Kovner, Michael Lublinsky

摘要:

通过系统地考虑强子波函数中有限部分子密度的非线性效应以及散射过程中的多次重散射效应,我们继续研究了高能强子散射振幅。本文导出了当所有观测到的胶子的快度相差不大时,单胶子产生振幅和多胶子产生振幅的表达式。我们表明,在领导秩序,这些可观的表现出半经典结构。在半经典结果的基础上,我们发现胶子发射具有不同于JIMWLK和KLWMIJ极限的一些特征,即胶子在快度空间中不是独立发射的,而是具有关联长度为1阶的关联分量(在快度空间中).我们证明了多胶子观测量的这一特征与QCD Reggeon场论($H_{RFT}$)的哈密顿量之间的一致性,该哈密顿量是在姊妹论文\cite{rft}中导出的。我们还表明,这些观测量与总的快速的过程中产生的$H_{RFT}$的\cite{rft}。我们讨论是否这种演变是等价的演变与$H_{JIMWLK}$至于这一组的可观的关注。

英文摘要:

We continue the study of hadronic scattering amplitudes at high energy by systematically including nonlinear effects of finite partonic density in hadronic wave function as well as the effects of multiple rescatterings in the scattering process. In this paper we derive expressions for a single inclusive gluon production amplitude and multigluon inclusive production amplitudes when the rapidities of all observed gluons are not very different. We show that at leading order these observables exhibit a semiclassical structure. Beyond the semiclassical result, we find that the gluon emission has some characteristic features different from the JIMWLK and KLWMIJ limits in that the gluons are not emitted independently in rapidity space, but have a correlated component with correlation length (in rapidity space) of order one. We demonstrate the consistency between this feature of the multigluon observables and the Hamiltonian of the QCD Reggeon Field Theory ($H_{RFT}$) derived in the companion paper \cite{rft}. We also show that the evolution of these observables with total rapidity of the process is generated by $H_{RFT}$ of \cite{rft}. We discuss whether this evolution is equivalent to evolution with $H_{JIMWLK}$ as far as this set of observables is concerned.

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