偶极模型中的偶极摆动与标架无关性的研究
On the Dipole Swing and the Search for Frame Independence in the Dipole Model
摘要：
QCD中的小x演化可以方便地用Mueller的偶极子模型来描述，然而，该模型不包括与boost不变性一致的饱和效应。在本文中，我们首先表明，最近研究的零和一维玩具模型表现出饱和和明确的升压不变性可以解释为正定k-> k+1偶极子顶点。这样的k-> k+1个顶点可以在完整模型中通过将通常的偶极子分裂与k-1个同时偶极子摆动相结合来生成。我们表明，对于一个系统组成的N个偶极子，一个需要结合的偶极子分裂与最多N-1同时摆动，以产生所有的颜色相关诱导的多个偶极子相互作用。
英文摘要：
Small-x evolution in QCD is conveniently described by Mueller's dipole model which, however, does not include saturation effects in a way consistent with boost invariance. In this paper we first show that the recently studied zero and one dimensional toy models exhibiting saturation and explicit boost invariance can be interpreted in terms positive definite k-> k+1 dipole vertices. Such k-> k+1 vertices can in the full model be generated by combining the usual dipole splitting with k-1 simultaneous dipole swings. We show that, for a system consisting of N dipoles, one needs to combine the dipole splitting with at most N-1 simultaneous swings in order to generate all colour correlations induced by the multiple dipole interactions.
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