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arXiv 0808.2665hep-ph
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快度发散与部分子密度的有效定义

Rapidity divergences and valid definitions of parton densities

John Collins

摘要:

当规范理论中的部分子密度以最自然的方式被定义为光锋量子化中部分子数算符的期望值时,快度发散就会发生。我回顾这些和其他相关的分歧,并显示如何部分子密度的定义可以修改,以消除分歧。一个修正的定义不仅对QCD的许多唯象应用是必不可少的,而且也涉及到非微扰方法中部分子密度的处理。部分子密度定义的修正也需要对规范理论的光阵面量子化公式进行修正。

英文摘要:

Rapidity divergences occur when parton densities in a gauge theory are defined in the most natural way, as expectation values of partonic number operators in light-front quantization. I review these and other related divergences, and show how the definitions of parton densities can be modified to remove the divergences. A modified definition is not only essential for many phenomenological applications of QCD, but also concerns the treatment of parton densities in non-perturbative approaches. The necessity of modifications in the definition of a parton density also entails corrections in the formulation of light-front quantization for gauge theories.

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