One gluon, two gluon: multigluon production via high energy evolution

One gluon, two gluon: multigluon production via high energy evolution
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一个胶子,两个胶子:通过高能量演化产生多胶子

DOI:
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发表时间:
2006
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通讯作者:
M. Lublinsky
M. Lublinsky
中科院分区:
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文献类型:
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作者:
A. Kovner;M. Lublinsky

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我们开发了一种计算JIMWLK高能演化中包含多胶子产生的方法。对于任意数目的胶子n,我们用生成泛函给出了多胶子截面的形式化表达式。在偶极子极限下,表达式得到了极大的简化。我们恢复了先前已知的单胶子和双胶子包涵截面的结果,并将任意多胶子振幅的结果推广到波美龙类物体耦合到外部速度依赖场s(?)的费曼图中。我们证实了在多胶子生产中AGK切割规则一般是被违反的结论。然而,我们提出了一个论点,即对于双包容横截面,AGK图在高能下给出了主要贡献,而真正的破坏只发生在三重和更高的包容胶子产生时。我们讨论了我们的表达式的一些一般性质,并提出了一系列的论证来进一步简化方法。
We develop an approach for calculating the inclusive multigluon production within the JIMWLK high energy evolution. We give a formal expression of multigluon cross section in terms of a generating functional for arbitrary number of gluons n. In the dipole limit the expression simplifies dramatically. We recover the previously known results for single and double gluon inclusive cross section and generalize those for arbitrary multigluon amplitude in terms of Feynman diagramms of Pomeron - like objects coupled to external rapidity dependent field s(?). We confirm the conclusion that the AGK cutting rules in general are violated in multigluon production. However we present an argument to the effect that for doubly inclusive cross section the AGK diagramms give the leading contribution at high energy, while genuine violation only occurs for triple and higher inclusive gluon production. We discuss some general properties of our expressions and suggest a line of argument to simplify the approach further.