论夸克传播与强子化的联系
On the connection between quark propagation and hadronization
摘要：
我们调查的性质和结构，最近讨论的“完全包容的喷流相关器”，即规范不变的字段相关器特征的最终状态强子产生的自由夸克，因为这在真空中传播。在算符水平上，我们将此对象与夸克的单强子碎裂相关器相连接，利用一种新的规范不变谱分解技术，导出了一套完整的夸克碎裂函数的动量和规则，直到twist-3水平，恢复了已知的结果，并提出了新的和规则.然后，我们展示了如何可以明确地连接夸克强子化和动力学夸克质量生成通过研究包容喷流的规范不变质量项。这个质量一方面在理论上与夸克的积分手征奇谱函数有关，另一方面在实验上可以通过$E$和$\tilde{E}$ twist-3碎裂函数求和规则获得。因此，在深度非弹性过程中测量这些碎裂函数为量子色动力学中质量的动态生成提供了一个实验途径。
英文摘要：
We investigate the properties and structure of the recently discussed "fully inclusive jet correlator", namely, the gauge-invariant field correlator characterizing the final state hadrons produced by a free quark as this propagates in the vacuum. Working at the operator level, we connect this object to the single-hadron fragmentation correlator of a quark, and exploit a novel gauge invariant spectral decomposition technique to derive a complete set of momentum sum rules for quark fragmentation functions up to twist-3 level; known results are recovered, and new sum rules proposed. We then show how one can explicitly connect quark hadronization and dynamical quark mass generation by studying the inclusive jet's gauge-invariant mass term. This mass is, on the one hand, theoretically related to the integrated chiral-odd spectral function of the quark, and, on the other hand, is experimentally accessible through the $E$ and $\tilde{E}$ twist-3 fragmentation function sum rules. Thus, measurements of these fragmentation functions in deep inelastic processes provide one with an experimental gateway into the dynamical generation of mass in Quantum Chromodynamics.
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